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Finding the Fourth Proportional to 410,316.96, 615,413.86 and 129,797.76

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Solution

The fourth proportional to 410,316.96, 615,413.86 and 129,797.76 is: 194,677.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,316.96 : 615,413.86 = 129,797.76 : x
  2. Step 2: Convert to fraction form
    410,316.96/615,413.86 = 129,797.76/x
  3. Step 3: Cross multiply
    410,316.96x = 615,413.86 × 129,797.76
  4. Step 4: Simplify right side
    410,316.96x = 79,879,340,500.95
  5. Step 5: Solve for x
    x = 79,879,340,500.95/410,316.96
  6. Step 6: Final answer
    x = 194,677.16

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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.