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Finding the Fourth Proportional to 412,754.67, 619,132.13 and 272,480.49

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Solution

The fourth proportional to 412,754.67, 619,132.13 and 272,480.49 is: 408,720.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,754.67 : 619,132.13 = 272,480.49 : x
  2. Step 2: Convert to fraction form
    412,754.67/619,132.13 = 272,480.49/x
  3. Step 3: Cross multiply
    412,754.67x = 619,132.13 × 272,480.49
  4. Step 4: Simplify right side
    412,754.67x = 168,701,426,157.14
  5. Step 5: Solve for x
    x = 168,701,426,157.14/412,754.67
  6. Step 6: Final answer
    x = 408,720.82

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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.