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Finding the Fourth Proportional to 279,825.83, 419,510.02 and 130,159.43

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Solution

The fourth proportional to 279,825.83, 419,510.02 and 130,159.43 is: 195,132.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,825.83 : 419,510.02 = 130,159.43 : x
  2. Step 2: Convert to fraction form
    279,825.83/419,510.02 = 130,159.43/x
  3. Step 3: Cross multiply
    279,825.83x = 419,510.02 × 130,159.43
  4. Step 4: Simplify right side
    279,825.83x = 54,603,182,659.54
  5. Step 5: Solve for x
    x = 54,603,182,659.54/279,825.83
  6. Step 6: Final answer
    x = 195,132.75

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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.