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Finding the Fourth Proportional to 284,494.68, 426,856.77 and 126,615.15

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Solution

The fourth proportional to 284,494.68, 426,856.77 and 126,615.15 is: 189,973.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,494.68 : 426,856.77 = 126,615.15 : x
  2. Step 2: Convert to fraction form
    284,494.68/426,856.77 = 126,615.15/x
  3. Step 3: Cross multiply
    284,494.68x = 426,856.77 × 126,615.15
  4. Step 4: Simplify right side
    284,494.68x = 54,046,533,962.07
  5. Step 5: Solve for x
    x = 54,046,533,962.07/284,494.68
  6. Step 6: Final answer
    x = 189,973.79

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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.