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Finding the Fourth Proportional to 421,432.47, 632,149.29 and 172,114.47

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Solution

The fourth proportional to 421,432.47, 632,149.29 and 172,114.47 is: 258,171.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,432.47 : 632,149.29 = 172,114.47 : x
  2. Step 2: Convert to fraction form
    421,432.47/632,149.29 = 172,114.47/x
  3. Step 3: Cross multiply
    421,432.47x = 632,149.29 × 172,114.47
  4. Step 4: Simplify right side
    421,432.47x = 108,802,040,009.23
  5. Step 5: Solve for x
    x = 108,802,040,009.23/421,432.47
  6. Step 6: Final answer
    x = 258,171.94

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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.