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Finding the Fourth Proportional to 428,962.71, 643,449.02 and 129,445.89

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Solution

The fourth proportional to 428,962.71, 643,449.02 and 129,445.89 is: 194,170.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,962.71 : 643,449.02 = 129,445.89 : x
  2. Step 2: Convert to fraction form
    428,962.71/643,449.02 = 129,445.89/x
  3. Step 3: Cross multiply
    428,962.71x = 643,449.02 × 129,445.89
  4. Step 4: Simplify right side
    428,962.71x = 83,291,827,846.28
  5. Step 5: Solve for x
    x = 83,291,827,846.28/428,962.71
  6. Step 6: Final answer
    x = 194,170.32

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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.