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Finding the Fourth Proportional to 527,062.80, 727,346.94 and 285,345.42

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Solution

The fourth proportional to 527,062.80, 727,346.94 and 285,345.42 is: 393,776.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,062.80 : 727,346.94 = 285,345.42 : x
  2. Step 2: Convert to fraction form
    527,062.80/727,346.94 = 285,345.42/x
  3. Step 3: Cross multiply
    527,062.80x = 727,346.94 × 285,345.42
  4. Step 4: Simplify right side
    527,062.80x = 207,545,118,080.02
  5. Step 5: Solve for x
    x = 207,545,118,080.02/527,062.80
  6. Step 6: Final answer
    x = 393,776.83

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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.