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Finding the Fourth Proportional to 383,388.57, 575,082.99 and 102,905.82

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Solution

The fourth proportional to 383,388.57, 575,082.99 and 102,905.82 is: 154,358.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,388.57 : 575,082.99 = 102,905.82 : x
  2. Step 2: Convert to fraction form
    383,388.57/575,082.99 = 102,905.82/x
  3. Step 3: Cross multiply
    383,388.57x = 575,082.99 × 102,905.82
  4. Step 4: Simplify right side
    383,388.57x = 59,179,386,654.00
  5. Step 5: Solve for x
    x = 59,179,386,654.00/383,388.57
  6. Step 6: Final answer
    x = 154,358.77

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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.