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Finding the Fourth Proportional to 547,859, 756,031.33 and 306,143.55

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Solution

The fourth proportional to 547,859, 756,031.33 and 306,143.55 is: 422,470.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,859 : 756,031.33 = 306,143.55 : x
  2. Step 2: Convert to fraction form
    547,859/756,031.33 = 306,143.55/x
  3. Step 3: Cross multiply
    547,859x = 756,031.33 × 306,143.55
  4. Step 4: Simplify right side
    547,859x = 231,454,115,277.42
  5. Step 5: Solve for x
    x = 231,454,115,277.42/547,859
  6. Step 6: Final answer
    x = 422,470.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.