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Finding the Fourth Proportional to 311,415.14, 429,752.88 and 168,175.17

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Solution

The fourth proportional to 311,415.14, 429,752.88 and 168,175.17 is: 232,081.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,415.14 : 429,752.88 = 168,175.17 : x
  2. Step 2: Convert to fraction form
    311,415.14/429,752.88 = 168,175.17/x
  3. Step 3: Cross multiply
    311,415.14x = 429,752.88 × 168,175.17
  4. Step 4: Simplify right side
    311,415.14x = 72,273,763,651.99
  5. Step 5: Solve for x
    x = 72,273,763,651.99/311,415.14
  6. Step 6: Final answer
    x = 232,081.73

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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.