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Finding the Fourth Proportional to 286,073.78, 394,800.28 and 165,220.16

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Solution

The fourth proportional to 286,073.78, 394,800.28 and 165,220.16 is: 228,014.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,073.78 : 394,800.28 = 165,220.16 : x
  2. Step 2: Convert to fraction form
    286,073.78/394,800.28 = 165,220.16/x
  3. Step 3: Cross multiply
    286,073.78x = 394,800.28 × 165,220.16
  4. Step 4: Simplify right side
    286,073.78x = 65,228,963,042.59
  5. Step 5: Solve for x
    x = 65,228,963,042.59/286,073.78
  6. Step 6: Final answer
    x = 228,014.48

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1.5x scale

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.