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Finding the Fourth Proportional to 284,257.68, 392,294.52 and 188,599.92

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Solution

The fourth proportional to 284,257.68, 392,294.52 and 188,599.92 is: 260,280.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,257.68 : 392,294.52 = 188,599.92 : x
  2. Step 2: Convert to fraction form
    284,257.68/392,294.52 = 188,599.92/x
  3. Step 3: Cross multiply
    284,257.68x = 392,294.52 × 188,599.92
  4. Step 4: Simplify right side
    284,257.68x = 73,986,715,088.44
  5. Step 5: Solve for x
    x = 73,986,715,088.44/284,257.68
  6. Step 6: Final answer
    x = 260,280.44

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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.