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Finding the Fourth Proportional to 253,698.24, 380,404.80 and 127,056

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Solution

The fourth proportional to 253,698.24, 380,404.80 and 127,056 is: 190,512.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,698.24 : 380,404.80 = 127,056 : x
  2. Step 2: Convert to fraction form
    253,698.24/380,404.80 = 127,056/x
  3. Step 3: Cross multiply
    253,698.24x = 380,404.80 × 127,056
  4. Step 4: Simplify right side
    253,698.24x = 48,332,712,268.80
  5. Step 5: Solve for x
    x = 48,332,712,268.80/253,698.24
  6. Step 6: Final answer
    x = 190,512.60

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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.