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Finding the Fourth Proportional to 542,120.31, 813,220.41 and 142,758.31

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Solution

The fourth proportional to 542,120.31, 813,220.41 and 142,758.31 is: 214,147.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,120.31 : 813,220.41 = 142,758.31 : x
  2. Step 2: Convert to fraction form
    542,120.31/813,220.41 = 142,758.31/x
  3. Step 3: Cross multiply
    542,120.31x = 813,220.41 × 142,758.31
  4. Step 4: Simplify right side
    542,120.31x = 116,093,971,389.11
  5. Step 5: Solve for x
    x = 116,093,971,389.11/542,120.31
  6. Step 6: Final answer
    x = 214,147.98

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1.5x scale

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.