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Finding the Fourth Proportional to 648,226.80, 972,340.20 and 411,836.40

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Solution

The fourth proportional to 648,226.80, 972,340.20 and 411,836.40 is: 617,754.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,226.80 : 972,340.20 = 411,836.40 : x
  2. Step 2: Convert to fraction form
    648,226.80/972,340.20 = 411,836.40/x
  3. Step 3: Cross multiply
    648,226.80x = 972,340.20 × 411,836.40
  4. Step 4: Simplify right side
    648,226.80x = 400,445,087,543.28
  5. Step 5: Solve for x
    x = 400,445,087,543.28/648,226.80
  6. Step 6: Final answer
    x = 617,754.60

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Double scale
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Similar ratio
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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.