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Finding the Fourth Proportional to 538,507.28, 807,906.36 and 164,520.08

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Solution

The fourth proportional to 538,507.28, 807,906.36 and 164,520.08 is: 246,824.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,507.28 : 807,906.36 = 164,520.08 : x
  2. Step 2: Convert to fraction form
    538,507.28/807,906.36 = 164,520.08/x
  3. Step 3: Cross multiply
    538,507.28x = 807,906.36 × 164,520.08
  4. Step 4: Simplify right side
    538,507.28x = 132,916,818,979.71
  5. Step 5: Solve for x
    x = 132,916,818,979.71/538,507.28
  6. Step 6: Final answer
    x = 246,824.55

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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.