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Finding the Fourth Proportional to 513,934.32, 709,230.24 and 287,580

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Solution

The fourth proportional to 513,934.32, 709,230.24 and 287,580 is: 396,860.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,934.32 : 709,230.24 = 287,580 : x
  2. Step 2: Convert to fraction form
    513,934.32/709,230.24 = 287,580/x
  3. Step 3: Cross multiply
    513,934.32x = 709,230.24 × 287,580
  4. Step 4: Simplify right side
    513,934.32x = 203,960,432,419.20
  5. Step 5: Solve for x
    x = 203,960,432,419.20/513,934.32
  6. Step 6: Final answer
    x = 396,860.89

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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.