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Finding the Fourth Proportional to 421,908.48, 632,422.08 and 253,428.48

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Solution

The fourth proportional to 421,908.48, 632,422.08 and 253,428.48 is: 379,878.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,908.48 : 632,422.08 = 253,428.48 : x
  2. Step 2: Convert to fraction form
    421,908.48/632,422.08 = 253,428.48/x
  3. Step 3: Cross multiply
    421,908.48x = 632,422.08 × 253,428.48
  4. Step 4: Simplify right side
    421,908.48x = 160,273,766,452.84
  5. Step 5: Solve for x
    x = 160,273,766,452.84/421,908.48
  6. Step 6: Final answer
    x = 379,878.04

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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.