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Finding the Fourth Proportional to 441,641.32, 662,462.28 and 142,121.84

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Solution

The fourth proportional to 441,641.32, 662,462.28 and 142,121.84 is: 213,182.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,641.32 : 662,462.28 = 142,121.84 : x
  2. Step 2: Convert to fraction form
    441,641.32/662,462.28 = 142,121.84/x
  3. Step 3: Cross multiply
    441,641.32x = 662,462.28 × 142,121.84
  4. Step 4: Simplify right side
    441,641.32x = 94,150,354,851.88
  5. Step 5: Solve for x
    x = 94,150,354,851.88/441,641.32
  6. Step 6: Final answer
    x = 213,182.85

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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.