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Finding the Fourth Proportional to 415,754.40, 623,631.60 and 289,783.20

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Solution

The fourth proportional to 415,754.40, 623,631.60 and 289,783.20 is: 434,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,754.40 : 623,631.60 = 289,783.20 : x
  2. Step 2: Convert to fraction form
    415,754.40/623,631.60 = 289,783.20/x
  3. Step 3: Cross multiply
    415,754.40x = 623,631.60 × 289,783.20
  4. Step 4: Simplify right side
    415,754.40x = 180,717,960,669.12
  5. Step 5: Solve for x
    x = 180,717,960,669.12/415,754.40
  6. Step 6: Final answer
    x = 434,674.80

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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.