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Finding the Fourth Proportional to 426,255.40, 587,871.30 and 256,457.80

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Solution

The fourth proportional to 426,255.40, 587,871.30 and 256,457.80 is: 353,694.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,255.40 : 587,871.30 = 256,457.80 : x
  2. Step 2: Convert to fraction form
    426,255.40/587,871.30 = 256,457.80/x
  3. Step 3: Cross multiply
    426,255.40x = 587,871.30 × 256,457.80
  4. Step 4: Simplify right side
    426,255.40x = 150,764,180,281.14
  5. Step 5: Solve for x
    x = 150,764,180,281.14/426,255.40
  6. Step 6: Final answer
    x = 353,694.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.