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Finding the Fourth Proportional to 421,375.34, 632,081.47 and 121,886.20

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Solution

The fourth proportional to 421,375.34, 632,081.47 and 121,886.20 is: 182,834.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,375.34 : 632,081.47 = 121,886.20 : x
  2. Step 2: Convert to fraction form
    421,375.34/632,081.47 = 121,886.20/x
  3. Step 3: Cross multiply
    421,375.34x = 632,081.47 × 121,886.20
  4. Step 4: Simplify right side
    421,375.34x = 77,042,008,468.71
  5. Step 5: Solve for x
    x = 77,042,008,468.71/421,375.34
  6. Step 6: Final answer
    x = 182,834.64

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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.