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Finding the Fourth Proportional to 311,412.58, 429,749.35 and 168,172.61

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Solution

The fourth proportional to 311,412.58, 429,749.35 and 168,172.61 is: 232,078.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,412.58 : 429,749.35 = 168,172.61 : x
  2. Step 2: Convert to fraction form
    311,412.58/429,749.35 = 168,172.61/x
  3. Step 3: Cross multiply
    311,412.58x = 429,749.35 × 168,172.61
  4. Step 4: Simplify right side
    311,412.58x = 72,272,070,489.25
  5. Step 5: Solve for x
    x = 72,272,070,489.25/311,412.58
  6. Step 6: Final answer
    x = 232,078.20

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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.