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Finding the Fourth Proportional to 387,274.28, 534,496.25 and 278,737.52

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Solution

The fourth proportional to 387,274.28, 534,496.25 and 278,737.52 is: 384,699.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,274.28 : 534,496.25 = 278,737.52 : x
  2. Step 2: Convert to fraction form
    387,274.28/534,496.25 = 278,737.52/x
  3. Step 3: Cross multiply
    387,274.28x = 534,496.25 × 278,737.52
  4. Step 4: Simplify right side
    387,274.28x = 148,984,157,198.66
  5. Step 5: Solve for x
    x = 148,984,157,198.66/387,274.28
  6. Step 6: Final answer
    x = 384,699.34

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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.