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Finding the Fourth Proportional to 421,751.20, 632,626.80 and 172,374.88

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Solution

The fourth proportional to 421,751.20, 632,626.80 and 172,374.88 is: 258,562.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,751.20 : 632,626.80 = 172,374.88 : x
  2. Step 2: Convert to fraction form
    421,751.20/632,626.80 = 172,374.88/x
  3. Step 3: Cross multiply
    421,751.20x = 632,626.80 × 172,374.88
  4. Step 4: Simplify right side
    421,751.20x = 109,048,968,734.78
  5. Step 5: Solve for x
    x = 109,048,968,734.78/421,751.20
  6. Step 6: Final answer
    x = 258,562.32

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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.