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Finding the Fourth Proportional to 453,422.40, 680,104.80 and 153,902.40

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Solution

The fourth proportional to 453,422.40, 680,104.80 and 153,902.40 is: 230,843.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,422.40 : 680,104.80 = 153,902.40 : x
  2. Step 2: Convert to fraction form
    453,422.40/680,104.80 = 153,902.40/x
  3. Step 3: Cross multiply
    453,422.40x = 680,104.80 × 153,902.40
  4. Step 4: Simplify right side
    453,422.40x = 104,669,760,971.52
  5. Step 5: Solve for x
    x = 104,669,760,971.52/453,422.40
  6. Step 6: Final answer
    x = 230,843.82

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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.