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Finding the Fourth Proportional to 398,504.02, 597,402.10 and 155,288.78

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Solution

The fourth proportional to 398,504.02, 597,402.10 and 155,288.78 is: 232,795.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,504.02 : 597,402.10 = 155,288.78 : x
  2. Step 2: Convert to fraction form
    398,504.02/597,402.10 = 155,288.78/x
  3. Step 3: Cross multiply
    398,504.02x = 597,402.10 × 155,288.78
  4. Step 4: Simplify right side
    398,504.02x = 92,769,843,278.44
  5. Step 5: Solve for x
    x = 92,769,843,278.44/398,504.02
  6. Step 6: Final answer
    x = 232,795.25

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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.