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Finding the Fourth Proportional to 386,508.96, 578,657.52 and 261,626.40

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Solution

The fourth proportional to 386,508.96, 578,657.52 and 261,626.40 is: 391,691.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,508.96 : 578,657.52 = 261,626.40 : x
  2. Step 2: Convert to fraction form
    386,508.96/578,657.52 = 261,626.40/x
  3. Step 3: Cross multiply
    386,508.96x = 578,657.52 × 261,626.40
  4. Step 4: Simplify right side
    386,508.96x = 151,392,083,790.53
  5. Step 5: Solve for x
    x = 151,392,083,790.53/386,508.96
  6. Step 6: Final answer
    x = 391,691.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.