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Finding the Fourth Proportional to 305,948.72, 420,711.90 and 265,591.88

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Solution

The fourth proportional to 305,948.72, 420,711.90 and 265,591.88 is: 365,216.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,948.72 : 420,711.90 = 265,591.88 : x
  2. Step 2: Convert to fraction form
    305,948.72/420,711.90 = 265,591.88/x
  3. Step 3: Cross multiply
    305,948.72x = 420,711.90 × 265,591.88
  4. Step 4: Simplify right side
    305,948.72x = 111,737,664,459.37
  5. Step 5: Solve for x
    x = 111,737,664,459.37/305,948.72
  6. Step 6: Final answer
    x = 365,216.97

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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.