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Finding the Fourth Proportional to 253,866.52, 380,701.36 and 135,473.28

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Solution

The fourth proportional to 253,866.52, 380,701.36 and 135,473.28 is: 203,157.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,866.52 : 380,701.36 = 135,473.28 : x
  2. Step 2: Convert to fraction form
    253,866.52/380,701.36 = 135,473.28/x
  3. Step 3: Cross multiply
    253,866.52x = 380,701.36 × 135,473.28
  4. Step 4: Simplify right side
    253,866.52x = 51,574,861,939.66
  5. Step 5: Solve for x
    x = 51,574,861,939.66/253,866.52
  6. Step 6: Final answer
    x = 203,157.40

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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.