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Finding the Fourth Proportional to 961,150, 1,326,387 and 537,214

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Solution

The fourth proportional to 961,150, 1,326,387 and 537,214 is: 741,355.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,150 : 1,326,387 = 537,214 : x
  2. Step 2: Convert to fraction form
    961,150/1,326,387 = 537,214/x
  3. Step 3: Cross multiply
    961,150x = 1,326,387 × 537,214
  4. Step 4: Simplify right side
    961,150x = 712,553,665,818
  5. Step 5: Solve for x
    x = 712,553,665,818/961,150
  6. Step 6: Final answer
    x = 741,355.32

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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.