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Finding the Fourth Proportional to 296,911.46, 445,392.99 and 83,680.78

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Solution

The fourth proportional to 296,911.46, 445,392.99 and 83,680.78 is: 125,528.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,911.46 : 445,392.99 = 83,680.78 : x
  2. Step 2: Convert to fraction form
    296,911.46/445,392.99 = 83,680.78/x
  3. Step 3: Cross multiply
    296,911.46x = 445,392.99 × 83,680.78
  4. Step 4: Simplify right side
    296,911.46x = 37,270,834,528.04
  5. Step 5: Solve for x
    x = 37,270,834,528.04/296,911.46
  6. Step 6: Final answer
    x = 125,528.45

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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.