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Finding the Fourth Proportional to 284,090.96, 392,067.65 and 163,274.39

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Solution

The fourth proportional to 284,090.96, 392,067.65 and 163,274.39 is: 225,331.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,090.96 : 392,067.65 = 163,274.39 : x
  2. Step 2: Convert to fraction form
    284,090.96/392,067.65 = 163,274.39/x
  3. Step 3: Cross multiply
    284,090.96x = 392,067.65 × 163,274.39
  4. Step 4: Simplify right side
    284,090.96x = 64,014,605,576.11
  5. Step 5: Solve for x
    x = 64,014,605,576.11/284,090.96
  6. Step 6: Final answer
    x = 225,331.38

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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.