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Finding the Fourth Proportional to 342,232.70, 513,384.25 and 129,180.07

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Solution

The fourth proportional to 342,232.70, 513,384.25 and 129,180.07 is: 193,783.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,232.70 : 513,384.25 = 129,180.07 : x
  2. Step 2: Convert to fraction form
    342,232.70/513,384.25 = 129,180.07/x
  3. Step 3: Cross multiply
    342,232.70x = 513,384.25 × 129,180.07
  4. Step 4: Simplify right side
    342,232.70x = 66,319,010,784.98
  5. Step 5: Solve for x
    x = 66,319,010,784.98/342,232.70
  6. Step 6: Final answer
    x = 193,783.38

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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.