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Finding the Fourth Proportional to 501,192.74, 690,976.80 and 398,168.72

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Solution

The fourth proportional to 501,192.74, 690,976.80 and 398,168.72 is: 548,941.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,192.74 : 690,976.80 = 398,168.72 : x
  2. Step 2: Convert to fraction form
    501,192.74/690,976.80 = 398,168.72/x
  3. Step 3: Cross multiply
    501,192.74x = 690,976.80 × 398,168.72
  4. Step 4: Simplify right side
    501,192.74x = 275,125,348,005.70
  5. Step 5: Solve for x
    x = 275,125,348,005.70/501,192.74
  6. Step 6: Final answer
    x = 548,941.21

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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.