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Finding the Fourth Proportional to 352,427.65, 486,342.90 and 199,463.11

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Solution

The fourth proportional to 352,427.65, 486,342.90 and 199,463.11 is: 275,254.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,427.65 : 486,342.90 = 199,463.11 : x
  2. Step 2: Convert to fraction form
    352,427.65/486,342.90 = 199,463.11/x
  3. Step 3: Cross multiply
    352,427.65x = 486,342.90 × 199,463.11
  4. Step 4: Simplify right side
    352,427.65x = 97,007,466,144.56
  5. Step 5: Solve for x
    x = 97,007,466,144.56/352,427.65
  6. Step 6: Final answer
    x = 275,254.98

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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.