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Finding the Fourth Proportional to 542,427, 813,640.56 and 210,003

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Solution

The fourth proportional to 542,427, 813,640.56 and 210,003 is: 315,004.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,427 : 813,640.56 = 210,003 : x
  2. Step 2: Convert to fraction form
    542,427/813,640.56 = 210,003/x
  3. Step 3: Cross multiply
    542,427x = 813,640.56 × 210,003
  4. Step 4: Simplify right side
    542,427x = 170,866,958,521.68
  5. Step 5: Solve for x
    x = 170,866,958,521.68/542,427
  6. Step 6: Final answer
    x = 315,004.52

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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.