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Finding the Fourth Proportional to 473,431.60, 708,397.80 and 431,441.20

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Solution

The fourth proportional to 473,431.60, 708,397.80 and 431,441.20 is: 645,567.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,431.60 : 708,397.80 = 431,441.20 : x
  2. Step 2: Convert to fraction form
    473,431.60/708,397.80 = 431,441.20/x
  3. Step 3: Cross multiply
    473,431.60x = 708,397.80 × 431,441.20
  4. Step 4: Simplify right side
    473,431.60x = 305,631,996,909.36
  5. Step 5: Solve for x
    x = 305,631,996,909.36/473,431.60
  6. Step 6: Final answer
    x = 645,567.38

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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.