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Finding the Fourth Proportional to 410,313.80, 615,413.10 and 129,859.40

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Solution

The fourth proportional to 410,313.80, 615,413.10 and 129,859.40 is: 194,770.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,313.80 : 615,413.10 = 129,859.40 : x
  2. Step 2: Convert to fraction form
    410,313.80/615,413.10 = 129,859.40/x
  3. Step 3: Cross multiply
    410,313.80x = 615,413.10 × 129,859.40
  4. Step 4: Simplify right side
    410,313.80x = 79,917,175,918.14
  5. Step 5: Solve for x
    x = 79,917,175,918.14/410,313.80
  6. Step 6: Final answer
    x = 194,770.87

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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.