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Finding the Fourth Proportional to 284,089.68, 392,040 and 156,762

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Solution

The fourth proportional to 284,089.68, 392,040 and 156,762 is: 216,329.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,089.68 : 392,040 = 156,762 : x
  2. Step 2: Convert to fraction form
    284,089.68/392,040 = 156,762/x
  3. Step 3: Cross multiply
    284,089.68x = 392,040 × 156,762
  4. Step 4: Simplify right side
    284,089.68x = 61,456,974,480
  5. Step 5: Solve for x
    x = 61,456,974,480/284,089.68
  6. Step 6: Final answer
    x = 216,329.49

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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.