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Finding the Fourth Proportional to 284,468.15, 392,564.81 and 157,143.78

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Solution

The fourth proportional to 284,468.15, 392,564.81 and 157,143.78 is: 216,857.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,468.15 : 392,564.81 = 157,143.78 : x
  2. Step 2: Convert to fraction form
    284,468.15/392,564.81 = 157,143.78/x
  3. Step 3: Cross multiply
    284,468.15x = 392,564.81 × 157,143.78
  4. Step 4: Simplify right side
    284,468.15x = 61,689,118,531.24
  5. Step 5: Solve for x
    x = 61,689,118,531.24/284,468.15
  6. Step 6: Final answer
    x = 216,857.73

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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.