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Finding the Fourth Proportional to 291,888.91, 402,791.06 and 164,556.30

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Solution

The fourth proportional to 291,888.91, 402,791.06 and 164,556.30 is: 227,078.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,888.91 : 402,791.06 = 164,556.30 : x
  2. Step 2: Convert to fraction form
    291,888.91/402,791.06 = 164,556.30/x
  3. Step 3: Cross multiply
    291,888.91x = 402,791.06 × 164,556.30
  4. Step 4: Simplify right side
    291,888.91x = 66,281,806,506.68
  5. Step 5: Solve for x
    x = 66,281,806,506.68/291,888.91
  6. Step 6: Final answer
    x = 227,078.88

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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.