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Finding the Fourth Proportional to 587,213.80, 880,820.70 and 213,188.20

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Solution

The fourth proportional to 587,213.80, 880,820.70 and 213,188.20 is: 319,782.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,213.80 : 880,820.70 = 213,188.20 : x
  2. Step 2: Convert to fraction form
    587,213.80/880,820.70 = 213,188.20/x
  3. Step 3: Cross multiply
    587,213.80x = 880,820.70 × 213,188.20
  4. Step 4: Simplify right side
    587,213.80x = 187,780,579,555.74
  5. Step 5: Solve for x
    x = 187,780,579,555.74/587,213.80
  6. Step 6: Final answer
    x = 319,782.30

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.