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Finding the Fourth Proportional to 252,506.88, 378,760.32 and 86,296.32

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Solution

The fourth proportional to 252,506.88, 378,760.32 and 86,296.32 is: 129,444.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,506.88 : 378,760.32 = 86,296.32 : x
  2. Step 2: Convert to fraction form
    252,506.88/378,760.32 = 86,296.32/x
  3. Step 3: Cross multiply
    252,506.88x = 378,760.32 × 86,296.32
  4. Step 4: Simplify right side
    252,506.88x = 32,685,621,778.02
  5. Step 5: Solve for x
    x = 32,685,621,778.02/252,506.88
  6. Step 6: Final answer
    x = 129,444.48

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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.