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Finding the Fourth Proportional to 472,012.12, 707,755.68 and 156,296.80

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Solution

The fourth proportional to 472,012.12, 707,755.68 and 156,296.80 is: 234,358.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,012.12 : 707,755.68 = 156,296.80 : x
  2. Step 2: Convert to fraction form
    472,012.12/707,755.68 = 156,296.80/x
  3. Step 3: Cross multiply
    472,012.12x = 707,755.68 × 156,296.80
  4. Step 4: Simplify right side
    472,012.12x = 110,619,947,965.82
  5. Step 5: Solve for x
    x = 110,619,947,965.82/472,012.12
  6. Step 6: Final answer
    x = 234,358.28

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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.