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Finding the Fourth Proportional to 402,296.80, 603,445.20 and 215,672.80

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Solution

The fourth proportional to 402,296.80, 603,445.20 and 215,672.80 is: 323,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,296.80 : 603,445.20 = 215,672.80 : x
  2. Step 2: Convert to fraction form
    402,296.80/603,445.20 = 215,672.80/x
  3. Step 3: Cross multiply
    402,296.80x = 603,445.20 × 215,672.80
  4. Step 4: Simplify right side
    402,296.80x = 130,146,715,930.56
  5. Step 5: Solve for x
    x = 130,146,715,930.56/402,296.80
  6. Step 6: Final answer
    x = 323,509.20

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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.