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Finding the Fourth Proportional to 284,269.14, 392,289 and 156,942

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Solution

The fourth proportional to 284,269.14, 392,289 and 156,942 is: 216,578.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,269.14 : 392,289 = 156,942 : x
  2. Step 2: Convert to fraction form
    284,269.14/392,289 = 156,942/x
  3. Step 3: Cross multiply
    284,269.14x = 392,289 × 156,942
  4. Step 4: Simplify right side
    284,269.14x = 61,566,620,238
  5. Step 5: Solve for x
    x = 61,566,620,238/284,269.14
  6. Step 6: Final answer
    x = 216,578.63

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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.