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Finding the Fourth Proportional to 491,305.91, 736,967.97 and 154,340.24

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Solution

The fourth proportional to 491,305.91, 736,967.97 and 154,340.24 is: 231,513.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,305.91 : 736,967.97 = 154,340.24 : x
  2. Step 2: Convert to fraction form
    491,305.91/736,967.97 = 154,340.24/x
  3. Step 3: Cross multiply
    491,305.91x = 736,967.97 × 154,340.24
  4. Step 4: Simplify right side
    491,305.91x = 113,743,809,677.27
  5. Step 5: Solve for x
    x = 113,743,809,677.27/491,305.91
  6. Step 6: Final answer
    x = 231,513.22

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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.