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Finding the Fourth Proportional to 421,386.30, 632,062.98 and 232,221.78

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Solution

The fourth proportional to 421,386.30, 632,062.98 and 232,221.78 is: 348,323.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,386.30 : 632,062.98 = 232,221.78 : x
  2. Step 2: Convert to fraction form
    421,386.30/632,062.98 = 232,221.78/x
  3. Step 3: Cross multiply
    421,386.30x = 632,062.98 × 232,221.78
  4. Step 4: Simplify right side
    421,386.30x = 146,778,790,287.70
  5. Step 5: Solve for x
    x = 146,778,790,287.70/421,386.30
  6. Step 6: Final answer
    x = 348,323.59

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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.