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Finding the Fourth Proportional to 547,274.52, 820,854 and 259,017.12

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Solution

The fourth proportional to 547,274.52, 820,854 and 259,017.12 is: 388,498.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,274.52 : 820,854 = 259,017.12 : x
  2. Step 2: Convert to fraction form
    547,274.52/820,854 = 259,017.12/x
  3. Step 3: Cross multiply
    547,274.52x = 820,854 × 259,017.12
  4. Step 4: Simplify right side
    547,274.52x = 212,615,239,020.48
  5. Step 5: Solve for x
    x = 212,615,239,020.48/547,274.52
  6. Step 6: Final answer
    x = 388,498.33

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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.