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Finding the Fourth Proportional to 477,257.86, 658,576.65 and 280,993.14

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Solution

The fourth proportional to 477,257.86, 658,576.65 and 280,993.14 is: 387,747.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,257.86 : 658,576.65 = 280,993.14 : x
  2. Step 2: Convert to fraction form
    477,257.86/658,576.65 = 280,993.14/x
  3. Step 3: Cross multiply
    477,257.86x = 658,576.65 × 280,993.14
  4. Step 4: Simplify right side
    477,257.86x = 185,055,520,814.18
  5. Step 5: Solve for x
    x = 185,055,520,814.18/477,257.86
  6. Step 6: Final answer
    x = 387,747.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.