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Finding the Fourth Proportional to 527,062.55, 727,337.63 and 285,343.16

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Solution

The fourth proportional to 527,062.55, 727,337.63 and 285,343.16 is: 393,768.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,062.55 : 727,337.63 = 285,343.16 : x
  2. Step 2: Convert to fraction form
    527,062.55/727,337.63 = 285,343.16/x
  3. Step 3: Cross multiply
    527,062.55x = 727,337.63 × 285,343.16
  4. Step 4: Simplify right side
    527,062.55x = 207,540,812,667.71
  5. Step 5: Solve for x
    x = 207,540,812,667.71/527,062.55
  6. Step 6: Final answer
    x = 393,768.85

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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.