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Finding the Fourth Proportional to 497,145.60, 745,977.60 and 216,691.20

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Solution

The fourth proportional to 497,145.60, 745,977.60 and 216,691.20 is: 325,149.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,145.60 : 745,977.60 = 216,691.20 : x
  2. Step 2: Convert to fraction form
    497,145.60/745,977.60 = 216,691.20/x
  3. Step 3: Cross multiply
    497,145.60x = 745,977.60 × 216,691.20
  4. Step 4: Simplify right side
    497,145.60x = 161,646,781,317.12
  5. Step 5: Solve for x
    x = 161,646,781,317.12/497,145.60
  6. Step 6: Final answer
    x = 325,149.78

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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.