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Finding the Fourth Proportional to 497,716.10, 746,574.15 and 287,764.10

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Solution

The fourth proportional to 497,716.10, 746,574.15 and 287,764.10 is: 431,646.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,716.10 : 746,574.15 = 287,764.10 : x
  2. Step 2: Convert to fraction form
    497,716.10/746,574.15 = 287,764.10/x
  3. Step 3: Cross multiply
    497,716.10x = 746,574.15 × 287,764.10
  4. Step 4: Simplify right side
    497,716.10x = 214,837,238,358.02
  5. Step 5: Solve for x
    x = 214,837,238,358.02/497,716.10
  6. Step 6: Final answer
    x = 431,646.15

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Similar ratio
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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.