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Finding the Fourth Proportional to 527,011.77, 727,275.40 and 285,294.28

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Solution

The fourth proportional to 527,011.77, 727,275.40 and 285,294.28 is: 393,705.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,011.77 : 727,275.40 = 285,294.28 : x
  2. Step 2: Convert to fraction form
    527,011.77/727,275.40 = 285,294.28/x
  3. Step 3: Cross multiply
    527,011.77x = 727,275.40 × 285,294.28
  4. Step 4: Simplify right side
    527,011.77x = 207,487,511,604.71
  5. Step 5: Solve for x
    x = 207,487,511,604.71/527,011.77
  6. Step 6: Final answer
    x = 393,705.65

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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.