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Finding the Fourth Proportional to 639,780.81, 959,673.92 and 166,432

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Solution

The fourth proportional to 639,780.81, 959,673.92 and 166,432 is: 249,648.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,780.81 : 959,673.92 = 166,432 : x
  2. Step 2: Convert to fraction form
    639,780.81/959,673.92 = 166,432/x
  3. Step 3: Cross multiply
    639,780.81x = 959,673.92 × 166,432
  4. Step 4: Simplify right side
    639,780.81x = 159,720,449,853.44
  5. Step 5: Solve for x
    x = 159,720,449,853.44/639,780.81
  6. Step 6: Final answer
    x = 249,648.70

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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.