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Finding the Fourth Proportional to 527,106.70, 727,398.38 and 285,387.32

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Solution

The fourth proportional to 527,106.70, 727,398.38 and 285,387.32 is: 393,829.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,106.70 : 727,398.38 = 285,387.32 : x
  2. Step 2: Convert to fraction form
    527,106.70/727,398.38 = 285,387.32/x
  3. Step 3: Cross multiply
    527,106.70x = 727,398.38 × 285,387.32
  4. Step 4: Simplify right side
    527,106.70x = 207,590,274,240.54
  5. Step 5: Solve for x
    x = 207,590,274,240.54/527,106.70
  6. Step 6: Final answer
    x = 393,829.70

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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.