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Finding the Fourth Proportional to 311,412.25, 429,748.91 and 168,172.29

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Solution

The fourth proportional to 311,412.25, 429,748.91 and 168,172.29 is: 232,077.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,412.25 : 429,748.91 = 168,172.29 : x
  2. Step 2: Convert to fraction form
    311,412.25/429,748.91 = 168,172.29/x
  3. Step 3: Cross multiply
    311,412.25x = 429,748.91 × 168,172.29
  4. Step 4: Simplify right side
    311,412.25x = 72,271,858,497.75
  5. Step 5: Solve for x
    x = 72,271,858,497.75/311,412.25
  6. Step 6: Final answer
    x = 232,077.76

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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.