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Finding the Fourth Proportional to 529,689.96, 730,976.81 and 287,972.73

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Solution

The fourth proportional to 529,689.96, 730,976.81 and 287,972.73 is: 397,404.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,689.96 : 730,976.81 = 287,972.73 : x
  2. Step 2: Convert to fraction form
    529,689.96/730,976.81 = 287,972.73/x
  3. Step 3: Cross multiply
    529,689.96x = 730,976.81 × 287,972.73
  4. Step 4: Simplify right side
    529,689.96x = 210,501,386,102.53
  5. Step 5: Solve for x
    x = 210,501,386,102.53/529,689.96
  6. Step 6: Final answer
    x = 397,404.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.