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Finding the Fourth Proportional to 421,387.25, 632,064.12 and 232,222.69

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Solution

The fourth proportional to 421,387.25, 632,064.12 and 232,222.69 is: 348,324.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,387.25 : 632,064.12 = 232,222.69 : x
  2. Step 2: Convert to fraction form
    421,387.25/632,064.12 = 232,222.69/x
  3. Step 3: Cross multiply
    421,387.25x = 632,064.12 × 232,222.69
  4. Step 4: Simplify right side
    421,387.25x = 146,779,628,618.72
  5. Step 5: Solve for x
    x = 146,779,628,618.72/421,387.25
  6. Step 6: Final answer
    x = 348,324.80

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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.