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Finding the Fourth Proportional to 361,620.52, 542,232.06 and 287,217.16

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Solution

The fourth proportional to 361,620.52, 542,232.06 and 287,217.16 is: 430,667.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,620.52 : 542,232.06 = 287,217.16 : x
  2. Step 2: Convert to fraction form
    361,620.52/542,232.06 = 287,217.16/x
  3. Step 3: Cross multiply
    361,620.52x = 542,232.06 × 287,217.16
  4. Step 4: Simplify right side
    361,620.52x = 155,738,352,334.15
  5. Step 5: Solve for x
    x = 155,738,352,334.15/361,620.52
  6. Step 6: Final answer
    x = 430,667.91

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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.