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Finding the Fourth Proportional to 542,538.12, 813,640.97 and 375,134.20

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Solution

The fourth proportional to 542,538.12, 813,640.97 and 375,134.20 is: 562,586.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,538.12 : 813,640.97 = 375,134.20 : x
  2. Step 2: Convert to fraction form
    542,538.12/813,640.97 = 375,134.20/x
  3. Step 3: Cross multiply
    542,538.12x = 813,640.97 × 375,134.20
  4. Step 4: Simplify right side
    542,538.12x = 305,224,556,858.62
  5. Step 5: Solve for x
    x = 305,224,556,858.62/542,538.12
  6. Step 6: Final answer
    x = 562,586.38

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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.