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Finding the Fourth Proportional to 305,438.27, 420,010.12 and 265,081.97

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Solution

The fourth proportional to 305,438.27, 420,010.12 and 265,081.97 is: 364,515.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,438.27 : 420,010.12 = 265,081.97 : x
  2. Step 2: Convert to fraction form
    305,438.27/420,010.12 = 265,081.97/x
  3. Step 3: Cross multiply
    305,438.27x = 420,010.12 × 265,081.97
  4. Step 4: Simplify right side
    305,438.27x = 111,337,107,929.49
  5. Step 5: Solve for x
    x = 111,337,107,929.49/305,438.27
  6. Step 6: Final answer
    x = 364,515.91

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1.5x scale

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.