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Finding the Fourth Proportional to 398,424.80, 597,637.20 and 292,136.60

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Solution

The fourth proportional to 398,424.80, 597,637.20 and 292,136.60 is: 438,204.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,424.80 : 597,637.20 = 292,136.60 : x
  2. Step 2: Convert to fraction form
    398,424.80/597,637.20 = 292,136.60/x
  3. Step 3: Cross multiply
    398,424.80x = 597,637.20 × 292,136.60
  4. Step 4: Simplify right side
    398,424.80x = 174,591,699,641.52
  5. Step 5: Solve for x
    x = 174,591,699,641.52/398,424.80
  6. Step 6: Final answer
    x = 438,204.90

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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.