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Finding the Fourth Proportional to 380,714.33, 571,143.59 and 153,027.70

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Solution

The fourth proportional to 380,714.33, 571,143.59 and 153,027.70 is: 229,570.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,714.33 : 571,143.59 = 153,027.70 : x
  2. Step 2: Convert to fraction form
    380,714.33/571,143.59 = 153,027.70/x
  3. Step 3: Cross multiply
    380,714.33x = 571,143.59 × 153,027.70
  4. Step 4: Simplify right side
    380,714.33x = 87,400,789,947.44
  5. Step 5: Solve for x
    x = 87,400,789,947.44/380,714.33
  6. Step 6: Final answer
    x = 229,570.53

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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.