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Finding the Fourth Proportional to 309,027.76, 462,757.56 and 258,976.24

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Solution

The fourth proportional to 309,027.76, 462,757.56 and 258,976.24 is: 387,807.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,027.76 : 462,757.56 = 258,976.24 : x
  2. Step 2: Convert to fraction form
    309,027.76/462,757.56 = 258,976.24/x
  3. Step 3: Cross multiply
    309,027.76x = 462,757.56 × 258,976.24
  4. Step 4: Simplify right side
    309,027.76x = 119,843,212,920.37
  5. Step 5: Solve for x
    x = 119,843,212,920.37/309,027.76
  6. Step 6: Final answer
    x = 387,807.27

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1.5x scale

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.