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Finding the Fourth Proportional to 383,780.80, 575,185.20 and 146,807.20

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Solution

The fourth proportional to 383,780.80, 575,185.20 and 146,807.20 is: 220,024.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,780.80 : 575,185.20 = 146,807.20 : x
  2. Step 2: Convert to fraction form
    383,780.80/575,185.20 = 146,807.20/x
  3. Step 3: Cross multiply
    383,780.80x = 575,185.20 × 146,807.20
  4. Step 4: Simplify right side
    383,780.80x = 84,441,328,693.44
  5. Step 5: Solve for x
    x = 84,441,328,693.44/383,780.80
  6. Step 6: Final answer
    x = 220,024.89

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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.