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Finding the Fourth Proportional to 587,765, 811,116.24 and 319,493

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Solution

The fourth proportional to 587,765, 811,116.24 and 319,493 is: 440,900.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,765 : 811,116.24 = 319,493 : x
  2. Step 2: Convert to fraction form
    587,765/811,116.24 = 319,493/x
  3. Step 3: Cross multiply
    587,765x = 811,116.24 × 319,493
  4. Step 4: Simplify right side
    587,765x = 259,145,960,866.32
  5. Step 5: Solve for x
    x = 259,145,960,866.32/587,765
  6. Step 6: Final answer
    x = 440,900.63

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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.