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Finding the Fourth Proportional to 257,767.68, 386,710.56 and 80,264.64

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Solution

The fourth proportional to 257,767.68, 386,710.56 and 80,264.64 is: 120,415.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,767.68 : 386,710.56 = 80,264.64 : x
  2. Step 2: Convert to fraction form
    257,767.68/386,710.56 = 80,264.64/x
  3. Step 3: Cross multiply
    257,767.68x = 386,710.56 × 80,264.64
  4. Step 4: Simplify right side
    257,767.68x = 31,039,183,882.60
  5. Step 5: Solve for x
    x = 31,039,183,882.60/257,767.68
  6. Step 6: Final answer
    x = 120,415.34

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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.