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Finding the Fourth Proportional to 421,039.92, 632,009.28 and 181,272.48

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Solution

The fourth proportional to 421,039.92, 632,009.28 and 181,272.48 is: 272,102.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,039.92 : 632,009.28 = 181,272.48 : x
  2. Step 2: Convert to fraction form
    421,039.92/632,009.28 = 181,272.48/x
  3. Step 3: Cross multiply
    421,039.92x = 632,009.28 × 181,272.48
  4. Step 4: Simplify right side
    421,039.92x = 114,565,889,568.61
  5. Step 5: Solve for x
    x = 114,565,889,568.61/421,039.92
  6. Step 6: Final answer
    x = 272,102.20

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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.