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Finding the Fourth Proportional to 527,101.82, 727,400.94 and 285,384.56

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Solution

The fourth proportional to 527,101.82, 727,400.94 and 285,384.56 is: 393,830.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,101.82 : 727,400.94 = 285,384.56 : x
  2. Step 2: Convert to fraction form
    527,101.82/727,400.94 = 285,384.56/x
  3. Step 3: Cross multiply
    527,101.82x = 727,400.94 × 285,384.56
  4. Step 4: Simplify right side
    527,101.82x = 207,588,997,205.49
  5. Step 5: Solve for x
    x = 207,588,997,205.49/527,101.82
  6. Step 6: Final answer
    x = 393,830.92

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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.