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Finding the Fourth Proportional to 421,690.50, 632,623.23 and 172,372.50

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Solution

The fourth proportional to 421,690.50, 632,623.23 and 172,372.50 is: 258,594.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,690.50 : 632,623.23 = 172,372.50 : x
  2. Step 2: Convert to fraction form
    421,690.50/632,623.23 = 172,372.50/x
  3. Step 3: Cross multiply
    421,690.50x = 632,623.23 × 172,372.50
  4. Step 4: Simplify right side
    421,690.50x = 109,046,847,713.18
  5. Step 5: Solve for x
    x = 109,046,847,713.18/421,690.50
  6. Step 6: Final answer
    x = 258,594.51

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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.