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Finding the Fourth Proportional to 547,284.68, 821,300.71 and 192,298.73

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Solution

The fourth proportional to 547,284.68, 821,300.71 and 192,298.73 is: 288,579.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,284.68 : 821,300.71 = 192,298.73 : x
  2. Step 2: Convert to fraction form
    547,284.68/821,300.71 = 192,298.73/x
  3. Step 3: Cross multiply
    547,284.68x = 821,300.71 × 192,298.73
  4. Step 4: Simplify right side
    547,284.68x = 157,935,083,481.10
  5. Step 5: Solve for x
    x = 157,935,083,481.10/547,284.68
  6. Step 6: Final answer
    x = 288,579.40

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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.