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Finding the Fourth Proportional to 398,428.20, 597,642.30 and 149,077.80

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Solution

The fourth proportional to 398,428.20, 597,642.30 and 149,077.80 is: 223,616.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,428.20 : 597,642.30 = 149,077.80 : x
  2. Step 2: Convert to fraction form
    398,428.20/597,642.30 = 149,077.80/x
  3. Step 3: Cross multiply
    398,428.20x = 597,642.30 × 149,077.80
  4. Step 4: Simplify right side
    398,428.20x = 89,095,199,270.94
  5. Step 5: Solve for x
    x = 89,095,199,270.94/398,428.20
  6. Step 6: Final answer
    x = 223,616.70

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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.