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Finding the Fourth Proportional to 517,514.88, 714,181.76 and 288,084

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Solution

The fourth proportional to 517,514.88, 714,181.76 and 288,084 is: 397,562.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,514.88 : 714,181.76 = 288,084 : x
  2. Step 2: Convert to fraction form
    517,514.88/714,181.76 = 288,084/x
  3. Step 3: Cross multiply
    517,514.88x = 714,181.76 × 288,084
  4. Step 4: Simplify right side
    517,514.88x = 205,744,338,147.84
  5. Step 5: Solve for x
    x = 205,744,338,147.84/517,514.88
  6. Step 6: Final answer
    x = 397,562.17

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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.