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Finding the Fourth Proportional to 587,853.32, 811,233.78 and 319,581.32

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Solution

The fourth proportional to 587,853.32, 811,233.78 and 319,581.32 is: 441,020.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,853.32 : 811,233.78 = 319,581.32 : x
  2. Step 2: Convert to fraction form
    587,853.32/811,233.78 = 319,581.32/x
  3. Step 3: Cross multiply
    587,853.32x = 811,233.78 × 319,581.32
  4. Step 4: Simplify right side
    587,853.32x = 259,255,162,240.99
  5. Step 5: Solve for x
    x = 259,255,162,240.99/587,853.32
  6. Step 6: Final answer
    x = 441,020.15

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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.