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Finding the Fourth Proportional to 311,107.10, 429,300.24 and 173,275.50

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Solution

The fourth proportional to 311,107.10, 429,300.24 and 173,275.50 is: 239,104.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,107.10 : 429,300.24 = 173,275.50 : x
  2. Step 2: Convert to fraction form
    311,107.10/429,300.24 = 173,275.50/x
  3. Step 3: Cross multiply
    311,107.10x = 429,300.24 × 173,275.50
  4. Step 4: Simplify right side
    311,107.10x = 74,387,214,696.21
  5. Step 5: Solve for x
    x = 74,387,214,696.21/311,107.10
  6. Step 6: Final answer
    x = 239,104.85

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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.