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Finding the Fourth Proportional to 279,976.42, 420,024.16 and 90,447.66

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Solution

The fourth proportional to 279,976.42, 420,024.16 and 90,447.66 is: 135,690.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,976.42 : 420,024.16 = 90,447.66 : x
  2. Step 2: Convert to fraction form
    279,976.42/420,024.16 = 90,447.66/x
  3. Step 3: Cross multiply
    279,976.42x = 420,024.16 × 90,447.66
  4. Step 4: Simplify right side
    279,976.42x = 37,990,200,315.34
  5. Step 5: Solve for x
    x = 37,990,200,315.34/279,976.42
  6. Step 6: Final answer
    x = 135,690.72

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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.