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Finding the Fourth Proportional to 284,731.71, 426,217.91 and 156,326.87

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Solution

The fourth proportional to 284,731.71, 426,217.91 and 156,326.87 is: 234,007.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,731.71 : 426,217.91 = 156,326.87 : x
  2. Step 2: Convert to fraction form
    284,731.71/426,217.91 = 156,326.87/x
  3. Step 3: Cross multiply
    284,731.71x = 426,217.91 × 156,326.87
  4. Step 4: Simplify right side
    284,731.71x = 66,629,308,895.52
  5. Step 5: Solve for x
    x = 66,629,308,895.52/284,731.71
  6. Step 6: Final answer
    x = 234,007.34

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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.