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Finding the Fourth Proportional to 311,278.58, 429,566.21 and 177,142.58

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Solution

The fourth proportional to 311,278.58, 429,566.21 and 177,142.58 is: 244,457.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,278.58 : 429,566.21 = 177,142.58 : x
  2. Step 2: Convert to fraction form
    311,278.58/429,566.21 = 177,142.58/x
  3. Step 3: Cross multiply
    311,278.58x = 429,566.21 × 177,142.58
  4. Step 4: Simplify right side
    311,278.58x = 76,094,466,720.22
  5. Step 5: Solve for x
    x = 76,094,466,720.22/311,278.58
  6. Step 6: Final answer
    x = 244,457.77

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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.