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Finding the Fourth Proportional to 378,762.06, 522,691.04 and 208,996.04

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Solution

The fourth proportional to 378,762.06, 522,691.04 and 208,996.04 is: 288,414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,762.06 : 522,691.04 = 208,996.04 : x
  2. Step 2: Convert to fraction form
    378,762.06/522,691.04 = 208,996.04/x
  3. Step 3: Cross multiply
    378,762.06x = 522,691.04 × 208,996.04
  4. Step 4: Simplify right side
    378,762.06x = 109,240,357,503.48
  5. Step 5: Solve for x
    x = 109,240,357,503.48/378,762.06
  6. Step 6: Final answer
    x = 288,414.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.