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Finding the Fourth Proportional to 342,883.34, 514,180.74 and 129,615.38

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Solution

The fourth proportional to 342,883.34, 514,180.74 and 129,615.38 is: 194,368.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,883.34 : 514,180.74 = 129,615.38 : x
  2. Step 2: Convert to fraction form
    342,883.34/514,180.74 = 129,615.38/x
  3. Step 3: Cross multiply
    342,883.34x = 514,180.74 × 129,615.38
  4. Step 4: Simplify right side
    342,883.34x = 66,645,732,003.78
  5. Step 5: Solve for x
    x = 66,645,732,003.78/342,883.34
  6. Step 6: Final answer
    x = 194,368.53

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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.