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Finding the Fourth Proportional to 311,421.47, 429,761.61 and 168,181.53

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Solution

The fourth proportional to 311,421.47, 429,761.61 and 168,181.53 is: 232,090.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,421.47 : 429,761.61 = 168,181.53 : x
  2. Step 2: Convert to fraction form
    311,421.47/429,761.61 = 168,181.53/x
  3. Step 3: Cross multiply
    311,421.47x = 429,761.61 × 168,181.53
  4. Step 4: Simplify right side
    311,421.47x = 72,277,965,105.06
  5. Step 5: Solve for x
    x = 72,277,965,105.06/311,421.47
  6. Step 6: Final answer
    x = 232,090.51

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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.