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Finding the Fourth Proportional to 314,442, 434,218.08 and 199,757.76

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Solution

The fourth proportional to 314,442, 434,218.08 and 199,757.76 is: 275,848.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,442 : 434,218.08 = 199,757.76 : x
  2. Step 2: Convert to fraction form
    314,442/434,218.08 = 199,757.76/x
  3. Step 3: Cross multiply
    314,442x = 434,218.08 × 199,757.76
  4. Step 4: Simplify right side
    314,442x = 86,738,431,012.30
  5. Step 5: Solve for x
    x = 86,738,431,012.30/314,442
  6. Step 6: Final answer
    x = 275,848.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.