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Finding the Fourth Proportional to 390,074.10, 585,111.15 and 257,213.85

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Solution

The fourth proportional to 390,074.10, 585,111.15 and 257,213.85 is: 385,820.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,074.10 : 585,111.15 = 257,213.85 : x
  2. Step 2: Convert to fraction form
    390,074.10/585,111.15 = 257,213.85/x
  3. Step 3: Cross multiply
    390,074.10x = 585,111.15 × 257,213.85
  4. Step 4: Simplify right side
    390,074.10x = 150,498,691,569.43
  5. Step 5: Solve for x
    x = 150,498,691,569.43/390,074.10
  6. Step 6: Final answer
    x = 385,820.78

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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.