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Finding the Fourth Proportional to 587,309.92, 810,647.76 and 345,670

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Solution

The fourth proportional to 587,309.92, 810,647.76 and 345,670 is: 477,118.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,309.92 : 810,647.76 = 345,670 : x
  2. Step 2: Convert to fraction form
    587,309.92/810,647.76 = 345,670/x
  3. Step 3: Cross multiply
    587,309.92x = 810,647.76 × 345,670
  4. Step 4: Simplify right side
    587,309.92x = 280,216,611,199.20
  5. Step 5: Solve for x
    x = 280,216,611,199.20/587,309.92
  6. Step 6: Final answer
    x = 477,118.81

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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.