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Finding the Fourth Proportional to 437,871.90, 657,067.26 and 185,138.58

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Solution

The fourth proportional to 437,871.90, 657,067.26 and 185,138.58 is: 277,817.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,871.90 : 657,067.26 = 185,138.58 : x
  2. Step 2: Convert to fraction form
    437,871.90/657,067.26 = 185,138.58/x
  3. Step 3: Cross multiply
    437,871.90x = 657,067.26 × 185,138.58
  4. Step 4: Simplify right side
    437,871.90x = 121,648,499,480.89
  5. Step 5: Solve for x
    x = 121,648,499,480.89/437,871.90
  6. Step 6: Final answer
    x = 277,817.55

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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.