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Finding the Fourth Proportional to 402,834.20, 604,127.80 and 132,912.52

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Solution

The fourth proportional to 402,834.20, 604,127.80 and 132,912.52 is: 199,328.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,834.20 : 604,127.80 = 132,912.52 : x
  2. Step 2: Convert to fraction form
    402,834.20/604,127.80 = 132,912.52/x
  3. Step 3: Cross multiply
    402,834.20x = 604,127.80 × 132,912.52
  4. Step 4: Simplify right side
    402,834.20x = 80,296,148,300.06
  5. Step 5: Solve for x
    x = 80,296,148,300.06/402,834.20
  6. Step 6: Final answer
    x = 199,328.03

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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.