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Finding the Fourth Proportional to 380,687.43, 571,103.16 and 153,000.74

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Solution

The fourth proportional to 380,687.43, 571,103.16 and 153,000.74 is: 229,530.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,687.43 : 571,103.16 = 153,000.74 : x
  2. Step 2: Convert to fraction form
    380,687.43/571,103.16 = 153,000.74/x
  3. Step 3: Cross multiply
    380,687.43x = 571,103.16 × 153,000.74
  4. Step 4: Simplify right side
    380,687.43x = 87,379,203,240.82
  5. Step 5: Solve for x
    x = 87,379,203,240.82/380,687.43
  6. Step 6: Final answer
    x = 229,530.05

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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.