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Finding the Fourth Proportional to 471,671.59, 707,618.11 and 156,128.50

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Solution

The fourth proportional to 471,671.59, 707,618.11 and 156,128.50 is: 234,229.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,671.59 : 707,618.11 = 156,128.50 : x
  2. Step 2: Convert to fraction form
    471,671.59/707,618.11 = 156,128.50/x
  3. Step 3: Cross multiply
    471,671.59x = 707,618.11 × 156,128.50
  4. Step 4: Simplify right side
    471,671.59x = 110,479,354,087.14
  5. Step 5: Solve for x
    x = 110,479,354,087.14/471,671.59
  6. Step 6: Final answer
    x = 234,229.40

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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.