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Finding the Fourth Proportional to 284,050.98, 391,990.13 and 156,726.57

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Solution

The fourth proportional to 284,050.98, 391,990.13 and 156,726.57 is: 216,282.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,050.98 : 391,990.13 = 156,726.57 : x
  2. Step 2: Convert to fraction form
    284,050.98/391,990.13 = 156,726.57/x
  3. Step 3: Cross multiply
    284,050.98x = 391,990.13 × 156,726.57
  4. Step 4: Simplify right side
    284,050.98x = 61,435,269,601.92
  5. Step 5: Solve for x
    x = 61,435,269,601.92/284,050.98
  6. Step 6: Final answer
    x = 216,282.55

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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.