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Finding the Fourth Proportional to 296,555.54, 444,898.64 and 86,209.88

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Solution

The fourth proportional to 296,555.54, 444,898.64 and 86,209.88 is: 129,333.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,555.54 : 444,898.64 = 86,209.88 : x
  2. Step 2: Convert to fraction form
    296,555.54/444,898.64 = 86,209.88/x
  3. Step 3: Cross multiply
    296,555.54x = 444,898.64 × 86,209.88
  4. Step 4: Simplify right side
    296,555.54x = 38,354,658,366.56
  5. Step 5: Solve for x
    x = 38,354,658,366.56/296,555.54
  6. Step 6: Final answer
    x = 129,333.81

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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.