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Finding the Fourth Proportional to 421,750.86, 632,561.28 and 137,440.70

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Solution

The fourth proportional to 421,750.86, 632,561.28 and 137,440.70 is: 206,139.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,750.86 : 632,561.28 = 137,440.70 : x
  2. Step 2: Convert to fraction form
    421,750.86/632,561.28 = 137,440.70/x
  3. Step 3: Cross multiply
    421,750.86x = 632,561.28 × 137,440.70
  4. Step 4: Simplify right side
    421,750.86x = 86,939,665,116.10
  5. Step 5: Solve for x
    x = 86,939,665,116.10/421,750.86
  6. Step 6: Final answer
    x = 206,139.86

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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.