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Finding the Fourth Proportional to 378,127.80, 566,657.10 and 209,722.32

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Solution

The fourth proportional to 378,127.80, 566,657.10 and 209,722.32 is: 314,286.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,127.80 : 566,657.10 = 209,722.32 : x
  2. Step 2: Convert to fraction form
    378,127.80/566,657.10 = 209,722.32/x
  3. Step 3: Cross multiply
    378,127.80x = 566,657.10 × 209,722.32
  4. Step 4: Simplify right side
    378,127.80x = 118,840,641,656.47
  5. Step 5: Solve for x
    x = 118,840,641,656.47/378,127.80
  6. Step 6: Final answer
    x = 314,286.97

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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.