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Finding the Fourth Proportional to 519,737.76, 717,238.12 and 281,273.76

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Solution

The fourth proportional to 519,737.76, 717,238.12 and 281,273.76 is: 388,157.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,737.76 : 717,238.12 = 281,273.76 : x
  2. Step 2: Convert to fraction form
    519,737.76/717,238.12 = 281,273.76/x
  3. Step 3: Cross multiply
    519,737.76x = 717,238.12 × 281,273.76
  4. Step 4: Simplify right side
    519,737.76x = 201,740,262,827.73
  5. Step 5: Solve for x
    x = 201,740,262,827.73/519,737.76
  6. Step 6: Final answer
    x = 388,157.79

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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.