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Finding the Fourth Proportional to 538,741.60, 807,982.80 and 164,767.84

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Solution

The fourth proportional to 538,741.60, 807,982.80 and 164,767.84 is: 247,112.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,741.60 : 807,982.80 = 164,767.84 : x
  2. Step 2: Convert to fraction form
    538,741.60/807,982.80 = 164,767.84/x
  3. Step 3: Cross multiply
    538,741.60x = 807,982.80 × 164,767.84
  4. Step 4: Simplify right side
    538,741.60x = 133,129,580,713.15
  5. Step 5: Solve for x
    x = 133,129,580,713.15/538,741.60
  6. Step 6: Final answer
    x = 247,112.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.