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Finding the Fourth Proportional to 978,486.24, 1,350,180.50 and 542,896.58

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Solution

The fourth proportional to 978,486.24, 1,350,180.50 and 542,896.58 is: 749,124.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,486.24 : 1,350,180.50 = 542,896.58 : x
  2. Step 2: Convert to fraction form
    978,486.24/1,350,180.50 = 542,896.58/x
  3. Step 3: Cross multiply
    978,486.24x = 1,350,180.50 × 542,896.58
  4. Step 4: Simplify right side
    978,486.24x = 733,008,375,832.69
  5. Step 5: Solve for x
    x = 733,008,375,832.69/978,486.24
  6. Step 6: Final answer
    x = 749,124.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.