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Finding the Fourth Proportional to 383,498.54, 575,247.78 and 146,841.20

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Solution

The fourth proportional to 383,498.54, 575,247.78 and 146,841.20 is: 220,261.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,498.54 : 575,247.78 = 146,841.20 : x
  2. Step 2: Convert to fraction form
    383,498.54/575,247.78 = 146,841.20/x
  3. Step 3: Cross multiply
    383,498.54x = 575,247.78 × 146,841.20
  4. Step 4: Simplify right side
    383,498.54x = 84,470,071,436.30
  5. Step 5: Solve for x
    x = 84,470,071,436.30/383,498.54
  6. Step 6: Final answer
    x = 220,261.78

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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.