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Finding the Fourth Proportional to 306,951.59, 423,592.43 and 170,984.12

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Solution

The fourth proportional to 306,951.59, 423,592.43 and 170,984.12 is: 235,957.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,951.59 : 423,592.43 = 170,984.12 : x
  2. Step 2: Convert to fraction form
    306,951.59/423,592.43 = 170,984.12/x
  3. Step 3: Cross multiply
    306,951.59x = 423,592.43 × 170,984.12
  4. Step 4: Simplify right side
    306,951.59x = 72,427,575,909.33
  5. Step 5: Solve for x
    x = 72,427,575,909.33/306,951.59
  6. Step 6: Final answer
    x = 235,957.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.