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Finding the Fourth Proportional to 489,134.60, 733,701.90 and 223,414.10

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Solution

The fourth proportional to 489,134.60, 733,701.90 and 223,414.10 is: 335,121.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,134.60 : 733,701.90 = 223,414.10 : x
  2. Step 2: Convert to fraction form
    489,134.60/733,701.90 = 223,414.10/x
  3. Step 3: Cross multiply
    489,134.60x = 733,701.90 × 223,414.10
  4. Step 4: Simplify right side
    489,134.60x = 163,919,349,656.79
  5. Step 5: Solve for x
    x = 163,919,349,656.79/489,134.60
  6. Step 6: Final answer
    x = 335,121.15

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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.