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Finding the Fourth Proportional to 387,587.52, 534,877.02 and 213,164.82

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Solution

The fourth proportional to 387,587.52, 534,877.02 and 213,164.82 is: 294,170.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,587.52 : 534,877.02 = 213,164.82 : x
  2. Step 2: Convert to fraction form
    387,587.52/534,877.02 = 213,164.82/x
  3. Step 3: Cross multiply
    387,587.52x = 534,877.02 × 213,164.82
  4. Step 4: Simplify right side
    387,587.52x = 114,016,963,690.44
  5. Step 5: Solve for x
    x = 114,016,963,690.44/387,587.52
  6. Step 6: Final answer
    x = 294,170.88

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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.