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Finding the Fourth Proportional to 296,822, 445,258.92 and 75,206

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Solution

The fourth proportional to 296,822, 445,258.92 and 75,206 is: 112,815.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,822 : 445,258.92 = 75,206 : x
  2. Step 2: Convert to fraction form
    296,822/445,258.92 = 75,206/x
  3. Step 3: Cross multiply
    296,822x = 445,258.92 × 75,206
  4. Step 4: Simplify right side
    296,822x = 33,486,142,337.52
  5. Step 5: Solve for x
    x = 33,486,142,337.52/296,822
  6. Step 6: Final answer
    x = 112,815.57

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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.