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Finding the Fourth Proportional to 402,192.32, 603,287.78 and 102,672.86

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Solution

The fourth proportional to 402,192.32, 603,287.78 and 102,672.86 is: 154,009.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,192.32 : 603,287.78 = 102,672.86 : x
  2. Step 2: Convert to fraction form
    402,192.32/603,287.78 = 102,672.86/x
  3. Step 3: Cross multiply
    402,192.32x = 603,287.78 × 102,672.86
  4. Step 4: Simplify right side
    402,192.32x = 61,941,278,245.85
  5. Step 5: Solve for x
    x = 61,941,278,245.85/402,192.32
  6. Step 6: Final answer
    x = 154,009.10

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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.