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Finding the Fourth Proportional to 257,808.28, 386,712.42 and 80,329.64

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Solution

The fourth proportional to 257,808.28, 386,712.42 and 80,329.64 is: 120,494.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,808.28 : 386,712.42 = 80,329.64 : x
  2. Step 2: Convert to fraction form
    257,808.28/386,712.42 = 80,329.64/x
  3. Step 3: Cross multiply
    257,808.28x = 386,712.42 × 80,329.64
  4. Step 4: Simplify right side
    257,808.28x = 31,064,469,482.13
  5. Step 5: Solve for x
    x = 31,064,469,482.13/257,808.28
  6. Step 6: Final answer
    x = 120,494.46

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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.