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Finding the Fourth Proportional to 409,546.88, 614,278.80 and 109,988.54

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Solution

The fourth proportional to 409,546.88, 614,278.80 and 109,988.54 is: 164,971.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,546.88 : 614,278.80 = 109,988.54 : x
  2. Step 2: Convert to fraction form
    409,546.88/614,278.80 = 109,988.54/x
  3. Step 3: Cross multiply
    409,546.88x = 614,278.80 × 109,988.54
  4. Step 4: Simplify right side
    409,546.88x = 67,563,628,364.95
  5. Step 5: Solve for x
    x = 67,563,628,364.95/409,546.88
  6. Step 6: Final answer
    x = 164,971.66

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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.