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Finding the Fourth Proportional to 421,578.74, 632,369.20 and 172,260.74

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Solution

The fourth proportional to 421,578.74, 632,369.20 and 172,260.74 is: 258,391.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,578.74 : 632,369.20 = 172,260.74 : x
  2. Step 2: Convert to fraction form
    421,578.74/632,369.20 = 172,260.74/x
  3. Step 3: Cross multiply
    421,578.74x = 632,369.20 × 172,260.74
  4. Step 4: Simplify right side
    421,578.74x = 108,932,386,345.21
  5. Step 5: Solve for x
    x = 108,932,386,345.21/421,578.74
  6. Step 6: Final answer
    x = 258,391.56

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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.