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Finding the Fourth Proportional to 342,005.80, 513,008.70 and 128,773.30

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Solution

The fourth proportional to 342,005.80, 513,008.70 and 128,773.30 is: 193,159.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,005.80 : 513,008.70 = 128,773.30 : x
  2. Step 2: Convert to fraction form
    342,005.80/513,008.70 = 128,773.30/x
  3. Step 3: Cross multiply
    342,005.80x = 513,008.70 × 128,773.30
  4. Step 4: Simplify right side
    342,005.80x = 66,061,823,227.71
  5. Step 5: Solve for x
    x = 66,061,823,227.71/342,005.80
  6. Step 6: Final answer
    x = 193,159.95

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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.