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Finding the Fourth Proportional to 458,784, 688,234.32 and 126,360

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Solution

The fourth proportional to 458,784, 688,234.32 and 126,360 is: 189,556.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,784 : 688,234.32 = 126,360 : x
  2. Step 2: Convert to fraction form
    458,784/688,234.32 = 126,360/x
  3. Step 3: Cross multiply
    458,784x = 688,234.32 × 126,360
  4. Step 4: Simplify right side
    458,784x = 86,965,288,675.20
  5. Step 5: Solve for x
    x = 86,965,288,675.20/458,784
  6. Step 6: Final answer
    x = 189,556.06

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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.