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Finding the Fourth Proportional to 301,689.32, 452,528.05 and 121,769.97

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Solution

The fourth proportional to 301,689.32, 452,528.05 and 121,769.97 is: 182,652.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,689.32 : 452,528.05 = 121,769.97 : x
  2. Step 2: Convert to fraction form
    301,689.32/452,528.05 = 121,769.97/x
  3. Step 3: Cross multiply
    301,689.32x = 452,528.05 × 121,769.97
  4. Step 4: Simplify right side
    301,689.32x = 55,104,327,072.66
  5. Step 5: Solve for x
    x = 55,104,327,072.66/301,689.32
  6. Step 6: Final answer
    x = 182,652.56

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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.