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Finding the Fourth Proportional to 538,005.10, 807,007.65 and 497,454.70

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Solution

The fourth proportional to 538,005.10, 807,007.65 and 497,454.70 is: 746,182.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,005.10 : 807,007.65 = 497,454.70 : x
  2. Step 2: Convert to fraction form
    538,005.10/807,007.65 = 497,454.70/x
  3. Step 3: Cross multiply
    538,005.10x = 807,007.65 × 497,454.70
  4. Step 4: Simplify right side
    538,005.10x = 401,449,748,428.46
  5. Step 5: Solve for x
    x = 401,449,748,428.46/538,005.10
  6. Step 6: Final answer
    x = 746,182.05

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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.