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Finding the Fourth Proportional to 296,599.85, 444,975.61 and 86,237.78

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Solution

The fourth proportional to 296,599.85, 444,975.61 and 86,237.78 is: 129,378.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,599.85 : 444,975.61 = 86,237.78 : x
  2. Step 2: Convert to fraction form
    296,599.85/444,975.61 = 86,237.78/x
  3. Step 3: Cross multiply
    296,599.85x = 444,975.61 × 86,237.78
  4. Step 4: Simplify right side
    296,599.85x = 38,373,709,657.39
  5. Step 5: Solve for x
    x = 38,373,709,657.39/296,599.85
  6. Step 6: Final answer
    x = 129,378.72

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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.