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Finding the Fourth Proportional to 257,410.10, 386,115.15 and 248,078.90

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Solution

The fourth proportional to 257,410.10, 386,115.15 and 248,078.90 is: 372,118.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,410.10 : 386,115.15 = 248,078.90 : x
  2. Step 2: Convert to fraction form
    257,410.10/386,115.15 = 248,078.90/x
  3. Step 3: Cross multiply
    257,410.10x = 386,115.15 × 248,078.90
  4. Step 4: Simplify right side
    257,410.10x = 95,787,021,685.34
  5. Step 5: Solve for x
    x = 95,787,021,685.34/257,410.10
  6. Step 6: Final answer
    x = 372,118.35

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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.