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Finding the Fourth Proportional to 527,018.78, 727,285.76 and 285,301.17

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Solution

The fourth proportional to 527,018.78, 727,285.76 and 285,301.17 is: 393,715.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,018.78 : 727,285.76 = 285,301.17 : x
  2. Step 2: Convert to fraction form
    527,018.78/727,285.76 = 285,301.17/x
  3. Step 3: Cross multiply
    527,018.78x = 727,285.76 × 285,301.17
  4. Step 4: Simplify right side
    527,018.78x = 207,495,476,825.83
  5. Step 5: Solve for x
    x = 207,495,476,825.83/527,018.78
  6. Step 6: Final answer
    x = 393,715.53

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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.