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Finding the Fourth Proportional to 572,691.60, 857,287.80 and 446,720.40

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Solution

The fourth proportional to 572,691.60, 857,287.80 and 446,720.40 is: 668,715.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,691.60 : 857,287.80 = 446,720.40 : x
  2. Step 2: Convert to fraction form
    572,691.60/857,287.80 = 446,720.40/x
  3. Step 3: Cross multiply
    572,691.60x = 857,287.80 × 446,720.40
  4. Step 4: Simplify right side
    572,691.60x = 382,967,948,931.12
  5. Step 5: Solve for x
    x = 382,967,948,931.12/572,691.60
  6. Step 6: Final answer
    x = 668,715.85

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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.