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Finding the Fourth Proportional to 421,771.68, 632,731.32 and 272,156.28

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Solution

The fourth proportional to 421,771.68, 632,731.32 and 272,156.28 is: 408,282.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,771.68 : 632,731.32 = 272,156.28 : x
  2. Step 2: Convert to fraction form
    421,771.68/632,731.32 = 272,156.28/x
  3. Step 3: Cross multiply
    421,771.68x = 632,731.32 × 272,156.28
  4. Step 4: Simplify right side
    421,771.68x = 172,201,802,290.69
  5. Step 5: Solve for x
    x = 172,201,802,290.69/421,771.68
  6. Step 6: Final answer
    x = 408,282.04

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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.