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Finding the Fourth Proportional to 401,076.70, 601,701.45 and 120,622.30

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Solution

The fourth proportional to 401,076.70, 601,701.45 and 120,622.30 is: 180,959.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,076.70 : 601,701.45 = 120,622.30 : x
  2. Step 2: Convert to fraction form
    401,076.70/601,701.45 = 120,622.30/x
  3. Step 3: Cross multiply
    401,076.70x = 601,701.45 × 120,622.30
  4. Step 4: Simplify right side
    401,076.70x = 72,578,612,812.34
  5. Step 5: Solve for x
    x = 72,578,612,812.34/401,076.70
  6. Step 6: Final answer
    x = 180,959.43

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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.