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Finding the Fourth Proportional to 296,571.78, 444,923.01 and 86,226.12

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Solution

The fourth proportional to 296,571.78, 444,923.01 and 86,226.12 is: 129,358.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,571.78 : 444,923.01 = 86,226.12 : x
  2. Step 2: Convert to fraction form
    296,571.78/444,923.01 = 86,226.12/x
  3. Step 3: Cross multiply
    296,571.78x = 444,923.01 × 86,226.12
  4. Step 4: Simplify right side
    296,571.78x = 38,363,984,851.02
  5. Step 5: Solve for x
    x = 38,363,984,851.02/296,571.78
  6. Step 6: Final answer
    x = 129,358.18

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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.