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Finding the Fourth Proportional to 280,264.96, 386,773.80 and 152,948.74

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Solution

The fourth proportional to 280,264.96, 386,773.80 and 152,948.74 is: 211,073.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,264.96 : 386,773.80 = 152,948.74 : x
  2. Step 2: Convert to fraction form
    280,264.96/386,773.80 = 152,948.74/x
  3. Step 3: Cross multiply
    280,264.96x = 386,773.80 × 152,948.74
  4. Step 4: Simplify right side
    280,264.96x = 59,156,565,375.01
  5. Step 5: Solve for x
    x = 59,156,565,375.01/280,264.96
  6. Step 6: Final answer
    x = 211,073.71

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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.