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Finding the Fourth Proportional to 378,397.04, 522,191.44 and 208,637.20

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Solution

The fourth proportional to 378,397.04, 522,191.44 and 208,637.20 is: 287,921.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,397.04 : 522,191.44 = 208,637.20 : x
  2. Step 2: Convert to fraction form
    378,397.04/522,191.44 = 208,637.20/x
  3. Step 3: Cross multiply
    378,397.04x = 522,191.44 × 208,637.20
  4. Step 4: Simplify right side
    378,397.04x = 108,948,559,905.57
  5. Step 5: Solve for x
    x = 108,948,559,905.57/378,397.04
  6. Step 6: Final answer
    x = 287,921.28

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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.