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Finding the Fourth Proportional to 471,672.60, 707,619.60 and 156,129.50

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Solution

The fourth proportional to 471,672.60, 707,619.60 and 156,129.50 is: 234,230.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,672.60 : 707,619.60 = 156,129.50 : x
  2. Step 2: Convert to fraction form
    471,672.60/707,619.60 = 156,129.50/x
  3. Step 3: Cross multiply
    471,672.60x = 707,619.60 × 156,129.50
  4. Step 4: Simplify right side
    471,672.60x = 110,480,294,338.20
  5. Step 5: Solve for x
    x = 110,480,294,338.20/471,672.60
  6. Step 6: Final answer
    x = 234,230.89

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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.