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Finding the Fourth Proportional to 400,207.86, 600,392.13 and 147,489.66

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Solution

The fourth proportional to 400,207.86, 600,392.13 and 147,489.66 is: 221,264.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,207.86 : 600,392.13 = 147,489.66 : x
  2. Step 2: Convert to fraction form
    400,207.86/600,392.13 = 147,489.66/x
  3. Step 3: Cross multiply
    400,207.86x = 600,392.13 × 147,489.66
  4. Step 4: Simplify right side
    400,207.86x = 88,551,631,120.38
  5. Step 5: Solve for x
    x = 88,551,631,120.38/400,207.86
  6. Step 6: Final answer
    x = 221,264.10

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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.