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Finding the Fourth Proportional to 387,468.55, 580,965.09 and 150,534.64

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Solution

The fourth proportional to 387,468.55, 580,965.09 and 150,534.64 is: 225,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,468.55 : 580,965.09 = 150,534.64 : x
  2. Step 2: Convert to fraction form
    387,468.55/580,965.09 = 150,534.64/x
  3. Step 3: Cross multiply
    387,468.55x = 580,965.09 × 150,534.64
  4. Step 4: Simplify right side
    387,468.55x = 87,455,370,675.72
  5. Step 5: Solve for x
    x = 87,455,370,675.72/387,468.55
  6. Step 6: Final answer
    x = 225,709.60

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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.