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Finding the Fourth Proportional to 587,763, 811,113.48 and 319,491

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Solution

The fourth proportional to 587,763, 811,113.48 and 319,491 is: 440,897.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,763 : 811,113.48 = 319,491 : x
  2. Step 2: Convert to fraction form
    587,763/811,113.48 = 319,491/x
  3. Step 3: Cross multiply
    587,763x = 811,113.48 × 319,491
  4. Step 4: Simplify right side
    587,763x = 259,143,456,838.68
  5. Step 5: Solve for x
    x = 259,143,456,838.68/587,763
  6. Step 6: Final answer
    x = 440,897.87

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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.