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Finding the Fourth Proportional to 257,311.80, 386,186.40 and 207,448.20

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Solution

The fourth proportional to 257,311.80, 386,186.40 and 207,448.20 is: 311,348.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,311.80 : 386,186.40 = 207,448.20 : x
  2. Step 2: Convert to fraction form
    257,311.80/386,186.40 = 207,448.20/x
  3. Step 3: Cross multiply
    257,311.80x = 386,186.40 × 207,448.20
  4. Step 4: Simplify right side
    257,311.80x = 80,113,673,544.48
  5. Step 5: Solve for x
    x = 80,113,673,544.48/257,311.80
  6. Step 6: Final answer
    x = 311,348.62

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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.