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Finding the Fourth Proportional to 257,605.45, 355,422.84 and 166,965.23

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Solution

The fourth proportional to 257,605.45, 355,422.84 and 166,965.23 is: 230,364.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,605.45 : 355,422.84 = 166,965.23 : x
  2. Step 2: Convert to fraction form
    257,605.45/355,422.84 = 166,965.23/x
  3. Step 3: Cross multiply
    257,605.45x = 355,422.84 × 166,965.23
  4. Step 4: Simplify right side
    257,605.45x = 59,343,256,490.29
  5. Step 5: Solve for x
    x = 59,343,256,490.29/257,605.45
  6. Step 6: Final answer
    x = 230,364.91

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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.