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Finding the Fourth Proportional to 409,549.88, 614,283.30 and 109,991.54

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Solution

The fourth proportional to 409,549.88, 614,283.30 and 109,991.54 is: 164,976.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,549.88 : 614,283.30 = 109,991.54 : x
  2. Step 2: Convert to fraction form
    409,549.88/614,283.30 = 109,991.54/x
  3. Step 3: Cross multiply
    409,549.88x = 614,283.30 × 109,991.54
  4. Step 4: Simplify right side
    409,549.88x = 67,565,963,091.87
  5. Step 5: Solve for x
    x = 67,565,963,091.87/409,549.88
  6. Step 6: Final answer
    x = 164,976.15

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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.