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Finding the Fourth Proportional to 312,419.82, 468,532.87 and 112,714.26

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Solution

The fourth proportional to 312,419.82, 468,532.87 and 112,714.26 is: 169,036.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,419.82 : 468,532.87 = 112,714.26 : x
  2. Step 2: Convert to fraction form
    312,419.82/468,532.87 = 112,714.26/x
  3. Step 3: Cross multiply
    312,419.82x = 468,532.87 × 112,714.26
  4. Step 4: Simplify right side
    312,419.82x = 52,810,335,727.73
  5. Step 5: Solve for x
    x = 52,810,335,727.73/312,419.82
  6. Step 6: Final answer
    x = 169,036.45

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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.