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Finding the Fourth Proportional to 340,511.16, 511,081.56 and 172,149.96

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Solution

The fourth proportional to 340,511.16, 511,081.56 and 172,149.96 is: 258,384.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,511.16 : 511,081.56 = 172,149.96 : x
  2. Step 2: Convert to fraction form
    340,511.16/511,081.56 = 172,149.96/x
  3. Step 3: Cross multiply
    340,511.16x = 511,081.56 × 172,149.96
  4. Step 4: Simplify right side
    340,511.16x = 87,982,670,110.74
  5. Step 5: Solve for x
    x = 87,982,670,110.74/340,511.16
  6. Step 6: Final answer
    x = 258,384.10

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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.