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Finding the Fourth Proportional to 313,041.20, 431,997 and 169,800.72

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Solution

The fourth proportional to 313,041.20, 431,997 and 169,800.72 is: 234,325.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,041.20 : 431,997 = 169,800.72 : x
  2. Step 2: Convert to fraction form
    313,041.20/431,997 = 169,800.72/x
  3. Step 3: Cross multiply
    313,041.20x = 431,997 × 169,800.72
  4. Step 4: Simplify right side
    313,041.20x = 73,353,401,637.84
  5. Step 5: Solve for x
    x = 73,353,401,637.84/313,041.20
  6. Step 6: Final answer
    x = 234,325.07

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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.