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Finding the Fourth Proportional to 257,876.10, 386,486.10 and 124,469.10

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Solution

The fourth proportional to 257,876.10, 386,486.10 and 124,469.10 is: 186,545.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,876.10 : 386,486.10 = 124,469.10 : x
  2. Step 2: Convert to fraction form
    257,876.10/386,486.10 = 124,469.10/x
  3. Step 3: Cross multiply
    257,876.10x = 386,486.10 × 124,469.10
  4. Step 4: Simplify right side
    257,876.10x = 48,105,577,029.51
  5. Step 5: Solve for x
    x = 48,105,577,029.51/257,876.10
  6. Step 6: Final answer
    x = 186,545.31

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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.