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Finding the Fourth Proportional to 398,151.40, 596,420.70 and 247,930.60

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Solution

The fourth proportional to 398,151.40, 596,420.70 and 247,930.60 is: 371,393.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,151.40 : 596,420.70 = 247,930.60 : x
  2. Step 2: Convert to fraction form
    398,151.40/596,420.70 = 247,930.60/x
  3. Step 3: Cross multiply
    398,151.40x = 596,420.70 × 247,930.60
  4. Step 4: Simplify right side
    398,151.40x = 147,870,942,003.42
  5. Step 5: Solve for x
    x = 147,870,942,003.42/398,151.40
  6. Step 6: Final answer
    x = 371,393.75

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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.