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Finding the Fourth Proportional to 340,763.44, 511,145.16 and 215,842

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Solution

The fourth proportional to 340,763.44, 511,145.16 and 215,842 is: 323,763

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,763.44 : 511,145.16 = 215,842 : x
  2. Step 2: Convert to fraction form
    340,763.44/511,145.16 = 215,842/x
  3. Step 3: Cross multiply
    340,763.44x = 511,145.16 × 215,842
  4. Step 4: Simplify right side
    340,763.44x = 110,326,593,624.72
  5. Step 5: Solve for x
    x = 110,326,593,624.72/340,763.44
  6. Step 6: Final answer
    x = 323,763

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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.