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Finding the Fourth Proportional to 421,587.74, 632,382.69 and 172,269.74

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Solution

The fourth proportional to 421,587.74, 632,382.69 and 172,269.74 is: 258,405.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,587.74 : 632,382.69 = 172,269.74 : x
  2. Step 2: Convert to fraction form
    421,587.74/632,382.69 = 172,269.74/x
  3. Step 3: Cross multiply
    421,587.74x = 632,382.69 × 172,269.74
  4. Step 4: Simplify right side
    421,587.74x = 108,940,401,586.80
  5. Step 5: Solve for x
    x = 108,940,401,586.80/421,587.74
  6. Step 6: Final answer
    x = 258,405.05

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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.