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Finding the Fourth Proportional to 321,475.79, 443,661.67 and 178,263.74

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Solution

The fourth proportional to 321,475.79, 443,661.67 and 178,263.74 is: 246,017.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,475.79 : 443,661.67 = 178,263.74 : x
  2. Step 2: Convert to fraction form
    321,475.79/443,661.67 = 178,263.74/x
  3. Step 3: Cross multiply
    321,475.79x = 443,661.67 × 178,263.74
  4. Step 4: Simplify right side
    321,475.79x = 79,088,789,920.83
  5. Step 5: Solve for x
    x = 79,088,789,920.83/321,475.79
  6. Step 6: Final answer
    x = 246,017.87

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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.