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Finding the Fourth Proportional to 469,971.28, 648,542.92 and 255,106.80

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Solution

The fourth proportional to 469,971.28, 648,542.92 and 255,106.80 is: 352,037.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,971.28 : 648,542.92 = 255,106.80 : x
  2. Step 2: Convert to fraction form
    469,971.28/648,542.92 = 255,106.80/x
  3. Step 3: Cross multiply
    469,971.28x = 648,542.92 × 255,106.80
  4. Step 4: Simplify right side
    469,971.28x = 165,447,708,983.86
  5. Step 5: Solve for x
    x = 165,447,708,983.86/469,971.28
  6. Step 6: Final answer
    x = 352,037.91

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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.