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Finding the Fourth Proportional to 471,531.72, 650,713.86 and 256,671.78

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Solution

The fourth proportional to 471,531.72, 650,713.86 and 256,671.78 is: 354,207.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,531.72 : 650,713.86 = 256,671.78 : x
  2. Step 2: Convert to fraction form
    471,531.72/650,713.86 = 256,671.78/x
  3. Step 3: Cross multiply
    471,531.72x = 650,713.86 × 256,671.78
  4. Step 4: Simplify right side
    471,531.72x = 167,019,882,276.69
  5. Step 5: Solve for x
    x = 167,019,882,276.69/471,531.72
  6. Step 6: Final answer
    x = 354,207.10

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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.