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Finding the Fourth Proportional to 399,320.70, 599,145.08 and 146,722.20

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Solution

The fourth proportional to 399,320.70, 599,145.08 and 146,722.20 is: 220,143.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,320.70 : 599,145.08 = 146,722.20 : x
  2. Step 2: Convert to fraction form
    399,320.70/599,145.08 = 146,722.20/x
  3. Step 3: Cross multiply
    399,320.70x = 599,145.08 × 146,722.20
  4. Step 4: Simplify right side
    399,320.70x = 87,907,883,523.17
  5. Step 5: Solve for x
    x = 87,907,883,523.17/399,320.70
  6. Step 6: Final answer
    x = 220,143.57

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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.