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Finding the Fourth Proportional to 383,811.80, 575,231.70 and 146,838.20

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Solution

The fourth proportional to 383,811.80, 575,231.70 and 146,838.20 is: 220,071.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,811.80 : 575,231.70 = 146,838.20 : x
  2. Step 2: Convert to fraction form
    383,811.80/575,231.70 = 146,838.20/x
  3. Step 3: Cross multiply
    383,811.80x = 575,231.70 × 146,838.20
  4. Step 4: Simplify right side
    383,811.80x = 84,465,987,410.94
  5. Step 5: Solve for x
    x = 84,465,987,410.94/383,811.80
  6. Step 6: Final answer
    x = 220,071.37

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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.