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Finding the Fourth Proportional to 542,150.60, 747,725.94 and 381,537.80

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Solution

The fourth proportional to 542,150.60, 747,725.94 and 381,537.80 is: 526,211.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,150.60 : 747,725.94 = 381,537.80 : x
  2. Step 2: Convert to fraction form
    542,150.60/747,725.94 = 381,537.80/x
  3. Step 3: Cross multiply
    542,150.60x = 747,725.94 × 381,537.80
  4. Step 4: Simplify right side
    542,150.60x = 285,285,710,150.53
  5. Step 5: Solve for x
    x = 285,285,710,150.53/542,150.60
  6. Step 6: Final answer
    x = 526,211.19

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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.