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Finding the Fourth Proportional to 587,309.50, 810,418.35 and 345,538.90

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Solution

The fourth proportional to 587,309.50, 810,418.35 and 345,538.90 is: 476,803.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,309.50 : 810,418.35 = 345,538.90 : x
  2. Step 2: Convert to fraction form
    587,309.50/810,418.35 = 345,538.90/x
  3. Step 3: Cross multiply
    587,309.50x = 810,418.35 × 345,538.90
  4. Step 4: Simplify right side
    587,309.50x = 280,031,065,198.82
  5. Step 5: Solve for x
    x = 280,031,065,198.82/587,309.50
  6. Step 6: Final answer
    x = 476,803.23

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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.