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Finding the Fourth Proportional to 410,384.80, 615,671.98 and 129,902.05

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Solution

The fourth proportional to 410,384.80, 615,671.98 and 129,902.05 is: 194,883.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,384.80 : 615,671.98 = 129,902.05 : x
  2. Step 2: Convert to fraction form
    410,384.80/615,671.98 = 129,902.05/x
  3. Step 3: Cross multiply
    410,384.80x = 615,671.98 × 129,902.05
  4. Step 4: Simplify right side
    410,384.80x = 79,977,052,774.39
  5. Step 5: Solve for x
    x = 79,977,052,774.39/410,384.80
  6. Step 6: Final answer
    x = 194,883.08

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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.