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Finding the Fourth Proportional to 378,209.60, 567,314.40 and 112,011.20

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Solution

The fourth proportional to 378,209.60, 567,314.40 and 112,011.20 is: 168,016.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,209.60 : 567,314.40 = 112,011.20 : x
  2. Step 2: Convert to fraction form
    378,209.60/567,314.40 = 112,011.20/x
  3. Step 3: Cross multiply
    378,209.60x = 567,314.40 × 112,011.20
  4. Step 4: Simplify right side
    378,209.60x = 63,545,566,721.28
  5. Step 5: Solve for x
    x = 63,545,566,721.28/378,209.60
  6. Step 6: Final answer
    x = 168,016.80

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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.