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Finding the Fourth Proportional to 282,007.40, 422,908.70 and 141,719.40

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Solution

The fourth proportional to 282,007.40, 422,908.70 and 141,719.40 is: 212,527.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,007.40 : 422,908.70 = 141,719.40 : x
  2. Step 2: Convert to fraction form
    282,007.40/422,908.70 = 141,719.40/x
  3. Step 3: Cross multiply
    282,007.40x = 422,908.70 × 141,719.40
  4. Step 4: Simplify right side
    282,007.40x = 59,934,367,218.78
  5. Step 5: Solve for x
    x = 59,934,367,218.78/282,007.40
  6. Step 6: Final answer
    x = 212,527.64

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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.