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Finding the Fourth Proportional to 321,640.07, 443,856.51 and 178,397.24

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Solution

The fourth proportional to 321,640.07, 443,856.51 and 178,397.24 is: 246,184.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,640.07 : 443,856.51 = 178,397.24 : x
  2. Step 2: Convert to fraction form
    321,640.07/443,856.51 = 178,397.24/x
  3. Step 3: Cross multiply
    321,640.07x = 443,856.51 × 178,397.24
  4. Step 4: Simplify right side
    321,640.07x = 79,182,774,120.75
  5. Step 5: Solve for x
    x = 79,182,774,120.75/321,640.07
  6. Step 6: Final answer
    x = 246,184.42

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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.