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Finding the Fourth Proportional to 470,914.38, 641,167.47 and 469,419.66

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Solution

The fourth proportional to 470,914.38, 641,167.47 and 469,419.66 is: 639,132.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,914.38 : 641,167.47 = 469,419.66 : x
  2. Step 2: Convert to fraction form
    470,914.38/641,167.47 = 469,419.66/x
  3. Step 3: Cross multiply
    470,914.38x = 641,167.47 × 469,419.66
  4. Step 4: Simplify right side
    470,914.38x = 300,976,615,770.46
  5. Step 5: Solve for x
    x = 300,976,615,770.46/470,914.38
  6. Step 6: Final answer
    x = 639,132.35

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.