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Finding the Fourth Proportional to 510,865.71, 705,016.55 and 284,511.21

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Solution

The fourth proportional to 510,865.71, 705,016.55 and 284,511.21 is: 392,637.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,865.71 : 705,016.55 = 284,511.21 : x
  2. Step 2: Convert to fraction form
    510,865.71/705,016.55 = 284,511.21/x
  3. Step 3: Cross multiply
    510,865.71x = 705,016.55 × 284,511.21
  4. Step 4: Simplify right side
    510,865.71x = 200,585,110,287.97
  5. Step 5: Solve for x
    x = 200,585,110,287.97/510,865.71
  6. Step 6: Final answer
    x = 392,637.65

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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.