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Finding the Fourth Proportional to 329,816.61, 494,625.96 and 140,275.53

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Solution

The fourth proportional to 329,816.61, 494,625.96 and 140,275.53 is: 210,371.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,816.61 : 494,625.96 = 140,275.53 : x
  2. Step 2: Convert to fraction form
    329,816.61/494,625.96 = 140,275.53/x
  3. Step 3: Cross multiply
    329,816.61x = 494,625.96 × 140,275.53
  4. Step 4: Simplify right side
    329,816.61x = 69,383,918,690.76
  5. Step 5: Solve for x
    x = 69,383,918,690.76/329,816.61
  6. Step 6: Final answer
    x = 210,371.21

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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.