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Finding the Fourth Proportional to 383,967.20, 575,965.38 and 147,333.80

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Solution

The fourth proportional to 383,967.20, 575,965.38 and 147,333.80 is: 221,006.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,967.20 : 575,965.38 = 147,333.80 : x
  2. Step 2: Convert to fraction form
    383,967.20/575,965.38 = 147,333.80/x
  3. Step 3: Cross multiply
    383,967.20x = 575,965.38 × 147,333.80
  4. Step 4: Simplify right side
    383,967.20x = 84,859,168,103.84
  5. Step 5: Solve for x
    x = 84,859,168,103.84/383,967.20
  6. Step 6: Final answer
    x = 221,006.29

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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.