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Finding the Fourth Proportional to 340,616.40, 511,239.96 and 172,255.92

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Solution

The fourth proportional to 340,616.40, 511,239.96 and 172,255.92 is: 258,543.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,616.40 : 511,239.96 = 172,255.92 : x
  2. Step 2: Convert to fraction form
    340,616.40/511,239.96 = 172,255.92/x
  3. Step 3: Cross multiply
    340,616.40x = 511,239.96 × 172,255.92
  4. Step 4: Simplify right side
    340,616.40x = 88,064,109,650.56
  5. Step 5: Solve for x
    x = 88,064,109,650.56/340,616.40
  6. Step 6: Final answer
    x = 258,543.36

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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.