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Finding the Fourth Proportional to 257,416.30, 386,160.90 and 79,904.80

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Solution

The fourth proportional to 257,416.30, 386,160.90 and 79,904.80 is: 119,868.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,416.30 : 386,160.90 = 79,904.80 : x
  2. Step 2: Convert to fraction form
    257,416.30/386,160.90 = 79,904.80/x
  3. Step 3: Cross multiply
    257,416.30x = 386,160.90 × 79,904.80
  4. Step 4: Simplify right side
    257,416.30x = 30,856,109,482.32
  5. Step 5: Solve for x
    x = 30,856,109,482.32/257,416.30
  6. Step 6: Final answer
    x = 119,868.51

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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.