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Finding the Fourth Proportional to 311,414.42, 429,752.85 and 180,617.42

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Solution

The fourth proportional to 311,414.42, 429,752.85 and 180,617.42 is: 249,252.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,414.42 : 429,752.85 = 180,617.42 : x
  2. Step 2: Convert to fraction form
    311,414.42/429,752.85 = 180,617.42/x
  3. Step 3: Cross multiply
    311,414.42x = 429,752.85 × 180,617.42
  4. Step 4: Simplify right side
    311,414.42x = 77,620,851,004.65
  5. Step 5: Solve for x
    x = 77,620,851,004.65/311,414.42
  6. Step 6: Final answer
    x = 249,252.59

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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.