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Finding the Fourth Proportional to 1,069,784,840.40, 1,604,677,260.60 and 457,564,808.40

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Solution

The fourth proportional to 1,069,784,840.40, 1,604,677,260.60 and 457,564,808.40 is: 686,347,212.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069,784,840.40 : 1,604,677,260.60 = 457,564,808.40 : x
  2. Step 2: Convert to fraction form
    1,069,784,840.40/1,604,677,260.60 = 457,564,808.40/x
  3. Step 3: Cross multiply
    1,069,784,840.40x = 1,604,677,260.60 × 457,564,808.40
  4. Step 4: Simplify right side
    1,069,784,840.40x = 734,243,843,290,275,840
  5. Step 5: Solve for x
    x = 734,243,843,290,275,840/1,069,784,840.40
  6. Step 6: Final answer
    x = 686,347,212.60

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.