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Finding the Fourth Proportional to 305,854.70, 458,782.05 and 261,567.95

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Solution

The fourth proportional to 305,854.70, 458,782.05 and 261,567.95 is: 392,351.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,854.70 : 458,782.05 = 261,567.95 : x
  2. Step 2: Convert to fraction form
    305,854.70/458,782.05 = 261,567.95/x
  3. Step 3: Cross multiply
    305,854.70x = 458,782.05 × 261,567.95
  4. Step 4: Simplify right side
    305,854.70x = 120,002,680,315.30
  5. Step 5: Solve for x
    x = 120,002,680,315.30/305,854.70
  6. Step 6: Final answer
    x = 392,351.93

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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.