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Finding the Fourth Proportional to 421,639.85, 632,179.52 and 232,189.43

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Solution

The fourth proportional to 421,639.85, 632,179.52 and 232,189.43 is: 348,129.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,639.85 : 632,179.52 = 232,189.43 : x
  2. Step 2: Convert to fraction form
    421,639.85/632,179.52 = 232,189.43/x
  3. Step 3: Cross multiply
    421,639.85x = 632,179.52 × 232,189.43
  4. Step 4: Simplify right side
    421,639.85x = 146,785,403,577.32
  5. Step 5: Solve for x
    x = 146,785,403,577.32/421,639.85
  6. Step 6: Final answer
    x = 348,129.82

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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.