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Finding the Fourth Proportional to 410,307.08, 615,399.05 and 129,787.88

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Solution

The fourth proportional to 410,307.08, 615,399.05 and 129,787.88 is: 194,662.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,307.08 : 615,399.05 = 129,787.88 : x
  2. Step 2: Convert to fraction form
    410,307.08/615,399.05 = 129,787.88/x
  3. Step 3: Cross multiply
    410,307.08x = 615,399.05 × 129,787.88
  4. Step 4: Simplify right side
    410,307.08x = 79,871,335,300.99
  5. Step 5: Solve for x
    x = 79,871,335,300.99/410,307.08
  6. Step 6: Final answer
    x = 194,662.34

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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.