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Finding the Fourth Proportional to 321,720.42, 443,974.71 and 178,480.47

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Solution

The fourth proportional to 321,720.42, 443,974.71 and 178,480.47 is: 246,303.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,720.42 : 443,974.71 = 178,480.47 : x
  2. Step 2: Convert to fraction form
    321,720.42/443,974.71 = 178,480.47/x
  3. Step 3: Cross multiply
    321,720.42x = 443,974.71 × 178,480.47
  4. Step 4: Simplify right side
    321,720.42x = 79,240,814,908.91
  5. Step 5: Solve for x
    x = 79,240,814,908.91/321,720.42
  6. Step 6: Final answer
    x = 246,303.34

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1.5x scale

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.