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Finding the Fourth Proportional to 539,514.92, 809,376.42 and 207,065

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Solution

The fourth proportional to 539,514.92, 809,376.42 and 207,065 is: 310,637.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,514.92 : 809,376.42 = 207,065 : x
  2. Step 2: Convert to fraction form
    539,514.92/809,376.42 = 207,065/x
  3. Step 3: Cross multiply
    539,514.92x = 809,376.42 × 207,065
  4. Step 4: Simplify right side
    539,514.92x = 167,593,528,407.30
  5. Step 5: Solve for x
    x = 167,593,528,407.30/539,514.92
  6. Step 6: Final answer
    x = 310,637.43

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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.