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Finding the Fourth Proportional to 331,659, 457,701.77 and 188,443.30

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Solution

The fourth proportional to 331,659, 457,701.77 and 188,443.30 is: 260,058.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,659 : 457,701.77 = 188,443.30 : x
  2. Step 2: Convert to fraction form
    331,659/457,701.77 = 188,443.30/x
  3. Step 3: Cross multiply
    331,659x = 457,701.77 × 188,443.30
  4. Step 4: Simplify right side
    331,659x = 86,250,831,954.64
  5. Step 5: Solve for x
    x = 86,250,831,954.64/331,659
  6. Step 6: Final answer
    x = 260,058.77

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1.5x scale

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.