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Finding the Fourth Proportional to 282,008.40, 422,910.20 and 141,720.40

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Solution

The fourth proportional to 282,008.40, 422,910.20 and 141,720.40 is: 212,529.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,008.40 : 422,910.20 = 141,720.40 : x
  2. Step 2: Convert to fraction form
    282,008.40/422,910.20 = 141,720.40/x
  3. Step 3: Cross multiply
    282,008.40x = 422,910.20 × 141,720.40
  4. Step 4: Simplify right side
    282,008.40x = 59,935,002,708.08
  5. Step 5: Solve for x
    x = 59,935,002,708.08/282,008.40
  6. Step 6: Final answer
    x = 212,529.14

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1.5x scale

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.