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Finding the Fourth Proportional to 395,622.30, 593,015.06 and 129,311.30

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Solution

The fourth proportional to 395,622.30, 593,015.06 and 129,311.30 is: 193,830.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,622.30 : 593,015.06 = 129,311.30 : x
  2. Step 2: Convert to fraction form
    395,622.30/593,015.06 = 129,311.30/x
  3. Step 3: Cross multiply
    395,622.30x = 593,015.06 × 129,311.30
  4. Step 4: Simplify right side
    395,622.30x = 76,683,548,328.18
  5. Step 5: Solve for x
    x = 76,683,548,328.18/395,622.30
  6. Step 6: Final answer
    x = 193,830.20

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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.