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Finding the Fourth Proportional to 606,165.85, 909,342.23 and 206,713.20

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Solution

The fourth proportional to 606,165.85, 909,342.23 and 206,713.20 is: 310,101.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,165.85 : 909,342.23 = 206,713.20 : x
  2. Step 2: Convert to fraction form
    606,165.85/909,342.23 = 206,713.20/x
  3. Step 3: Cross multiply
    606,165.85x = 909,342.23 × 206,713.20
  4. Step 4: Simplify right side
    606,165.85x = 187,973,041,224.87
  5. Step 5: Solve for x
    x = 187,973,041,224.87/606,165.85
  6. Step 6: Final answer
    x = 310,101.67

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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.