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Finding the Fourth Proportional to 298,343.81, 447,530.46 and 85,143.14

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Solution

The fourth proportional to 298,343.81, 447,530.46 and 85,143.14 is: 127,718.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,343.81 : 447,530.46 = 85,143.14 : x
  2. Step 2: Convert to fraction form
    298,343.81/447,530.46 = 85,143.14/x
  3. Step 3: Cross multiply
    298,343.81x = 447,530.46 × 85,143.14
  4. Step 4: Simplify right side
    298,343.81x = 38,104,148,610.04
  5. Step 5: Solve for x
    x = 38,104,148,610.04/298,343.81
  6. Step 6: Final answer
    x = 127,718.92

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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.