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Finding the Fourth Proportional to 421,372.80, 632,059.20 and 253,411.20

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Solution

The fourth proportional to 421,372.80, 632,059.20 and 253,411.20 is: 380,116.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,372.80 : 632,059.20 = 253,411.20 : x
  2. Step 2: Convert to fraction form
    421,372.80/632,059.20 = 253,411.20/x
  3. Step 3: Cross multiply
    421,372.80x = 632,059.20 × 253,411.20
  4. Step 4: Simplify right side
    421,372.80x = 160,170,880,343.04
  5. Step 5: Solve for x
    x = 160,170,880,343.04/421,372.80
  6. Step 6: Final answer
    x = 380,116.80

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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.