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Finding the Fourth Proportional to 296,564.78, 444,912.51 and 86,219.12

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Solution

The fourth proportional to 296,564.78, 444,912.51 and 86,219.12 is: 129,347.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,564.78 : 444,912.51 = 86,219.12 : x
  2. Step 2: Convert to fraction form
    296,564.78/444,912.51 = 86,219.12/x
  3. Step 3: Cross multiply
    296,564.78x = 444,912.51 × 86,219.12
  4. Step 4: Simplify right side
    296,564.78x = 38,359,965,089.19
  5. Step 5: Solve for x
    x = 38,359,965,089.19/296,564.78
  6. Step 6: Final answer
    x = 129,347.68

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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.