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Finding the Fourth Proportional to 528,815.84, 729,765.86 and 287,098.43

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Solution

The fourth proportional to 528,815.84, 729,765.86 and 287,098.43 is: 396,195.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,815.84 : 729,765.86 = 287,098.43 : x
  2. Step 2: Convert to fraction form
    528,815.84/729,765.86 = 287,098.43/x
  3. Step 3: Cross multiply
    528,815.84x = 729,765.86 × 287,098.43
  4. Step 4: Simplify right side
    528,815.84x = 209,514,627,589.28
  5. Step 5: Solve for x
    x = 209,514,627,589.28/528,815.84
  6. Step 6: Final answer
    x = 396,195.82

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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.