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Finding the Fourth Proportional to 428,565.88, 643,139.16 and 175,891.96

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Solution

The fourth proportional to 428,565.88, 643,139.16 and 175,891.96 is: 263,957.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,565.88 : 643,139.16 = 175,891.96 : x
  2. Step 2: Convert to fraction form
    428,565.88/643,139.16 = 175,891.96/x
  3. Step 3: Cross multiply
    428,565.88x = 643,139.16 × 175,891.96
  4. Step 4: Simplify right side
    428,565.88x = 113,123,007,405.15
  5. Step 5: Solve for x
    x = 113,123,007,405.15/428,565.88
  6. Step 6: Final answer
    x = 263,957.10

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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.