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Finding the Fourth Proportional to 280,952.40, 421,376.28 and 81,223.38

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Solution

The fourth proportional to 280,952.40, 421,376.28 and 81,223.38 is: 121,819.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,952.40 : 421,376.28 = 81,223.38 : x
  2. Step 2: Convert to fraction form
    280,952.40/421,376.28 = 81,223.38/x
  3. Step 3: Cross multiply
    280,952.40x = 421,376.28 × 81,223.38
  4. Step 4: Simplify right side
    280,952.40x = 34,225,605,713.43
  5. Step 5: Solve for x
    x = 34,225,605,713.43/280,952.40
  6. Step 6: Final answer
    x = 121,819.94

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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.