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Finding the Fourth Proportional to 383,756.80, 575,149.20 and 146,783.20

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Solution

The fourth proportional to 383,756.80, 575,149.20 and 146,783.20 is: 219,988.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,756.80 : 575,149.20 = 146,783.20 : x
  2. Step 2: Convert to fraction form
    383,756.80/575,149.20 = 146,783.20/x
  3. Step 3: Cross multiply
    383,756.80x = 575,149.20 × 146,783.20
  4. Step 4: Simplify right side
    383,756.80x = 84,422,240,053.44
  5. Step 5: Solve for x
    x = 84,422,240,053.44/383,756.80
  6. Step 6: Final answer
    x = 219,988.91

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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.