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Finding the Fourth Proportional to 457,477.62, 686,211.44 and 187,545.53

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Solution

The fourth proportional to 457,477.62, 686,211.44 and 187,545.53 is: 281,316.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,477.62 : 686,211.44 = 187,545.53 : x
  2. Step 2: Convert to fraction form
    457,477.62/686,211.44 = 187,545.53/x
  3. Step 3: Cross multiply
    457,477.62x = 686,211.44 × 187,545.53
  4. Step 4: Simplify right side
    457,477.62x = 128,695,883,838.08
  5. Step 5: Solve for x
    x = 128,695,883,838.08/457,477.62
  6. Step 6: Final answer
    x = 281,316.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.