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Finding the Fourth Proportional to 431,041.06, 646,600.55 and 164,803.88

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Solution

The fourth proportional to 431,041.06, 646,600.55 and 164,803.88 is: 247,220.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,041.06 : 646,600.55 = 164,803.88 : x
  2. Step 2: Convert to fraction form
    431,041.06/646,600.55 = 164,803.88/x
  3. Step 3: Cross multiply
    431,041.06x = 646,600.55 × 164,803.88
  4. Step 4: Simplify right side
    431,041.06x = 106,562,278,626.12
  5. Step 5: Solve for x
    x = 106,562,278,626.12/431,041.06
  6. Step 6: Final answer
    x = 247,220.71

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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.