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Finding the Fourth Proportional to 294,080.40, 405,905 and 166,832.40

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Solution

The fourth proportional to 294,080.40, 405,905 and 166,832.40 is: 230,270.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,080.40 : 405,905 = 166,832.40 : x
  2. Step 2: Convert to fraction form
    294,080.40/405,905 = 166,832.40/x
  3. Step 3: Cross multiply
    294,080.40x = 405,905 × 166,832.40
  4. Step 4: Simplify right side
    294,080.40x = 67,718,105,322
  5. Step 5: Solve for x
    x = 67,718,105,322/294,080.40
  6. Step 6: Final answer
    x = 230,270.72

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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.