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Finding the Fourth Proportional to 257,312.80, 386,187.90 and 207,449.20

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Solution

The fourth proportional to 257,312.80, 386,187.90 and 207,449.20 is: 311,350.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,312.80 : 386,187.90 = 207,449.20 : x
  2. Step 2: Convert to fraction form
    257,312.80/386,187.90 = 207,449.20/x
  3. Step 3: Cross multiply
    257,312.80x = 386,187.90 × 207,449.20
  4. Step 4: Simplify right side
    257,312.80x = 80,114,370,904.68
  5. Step 5: Solve for x
    x = 80,114,370,904.68/257,312.80
  6. Step 6: Final answer
    x = 311,350.12

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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.