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Finding the Fourth Proportional to 487,498.24, 731,201.28 and 155,015.68

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Solution

The fourth proportional to 487,498.24, 731,201.28 and 155,015.68 is: 232,508.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,498.24 : 731,201.28 = 155,015.68 : x
  2. Step 2: Convert to fraction form
    487,498.24/731,201.28 = 155,015.68/x
  3. Step 3: Cross multiply
    487,498.24x = 731,201.28 × 155,015.68
  4. Step 4: Simplify right side
    487,498.24x = 113,347,663,636.07
  5. Step 5: Solve for x
    x = 113,347,663,636.07/487,498.24
  6. Step 6: Final answer
    x = 232,508.87

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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.