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Finding the Fourth Proportional to 362,142.80, 542,825.40 and 137,416.40

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Solution

The fourth proportional to 362,142.80, 542,825.40 and 137,416.40 is: 205,977.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,142.80 : 542,825.40 = 137,416.40 : x
  2. Step 2: Convert to fraction form
    362,142.80/542,825.40 = 137,416.40/x
  3. Step 3: Cross multiply
    362,142.80x = 542,825.40 × 137,416.40
  4. Step 4: Simplify right side
    362,142.80x = 74,593,112,296.56
  5. Step 5: Solve for x
    x = 74,593,112,296.56/362,142.80
  6. Step 6: Final answer
    x = 205,977.07

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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.