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Finding the Fourth Proportional to 453,642.90, 680,435.55 and 154,122.90

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Solution

The fourth proportional to 453,642.90, 680,435.55 and 154,122.90 is: 231,174.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,642.90 : 680,435.55 = 154,122.90 : x
  2. Step 2: Convert to fraction form
    453,642.90/680,435.55 = 154,122.90/x
  3. Step 3: Cross multiply
    453,642.90x = 680,435.55 × 154,122.90
  4. Step 4: Simplify right side
    453,642.90x = 104,870,700,229.10
  5. Step 5: Solve for x
    x = 104,870,700,229.10/453,642.90
  6. Step 6: Final answer
    x = 231,174.57

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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.