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Finding the Fourth Proportional to 305,853.90, 458,780.85 and 305,853.90

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Solution

The fourth proportional to 305,853.90, 458,780.85 and 305,853.90 is: 458,780.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,853.90 : 458,780.85 = 305,853.90 : x
  2. Step 2: Convert to fraction form
    305,853.90/458,780.85 = 305,853.90/x
  3. Step 3: Cross multiply
    305,853.90x = 458,780.85 × 305,853.90
  4. Step 4: Simplify right side
    305,853.90x = 140,319,912,217.82
  5. Step 5: Solve for x
    x = 140,319,912,217.82/305,853.90
  6. Step 6: Final answer
    x = 458,780.85

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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.