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Finding the Fourth Proportional to 311,412.08, 429,748.66 and 168,172.11

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Solution

The fourth proportional to 311,412.08, 429,748.66 and 168,172.11 is: 232,077.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,412.08 : 429,748.66 = 168,172.11 : x
  2. Step 2: Convert to fraction form
    311,412.08/429,748.66 = 168,172.11/x
  3. Step 3: Cross multiply
    311,412.08x = 429,748.66 × 168,172.11
  4. Step 4: Simplify right side
    311,412.08x = 72,271,739,575.81
  5. Step 5: Solve for x
    x = 72,271,739,575.81/311,412.08
  6. Step 6: Final answer
    x = 232,077.51

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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.