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Finding the Fourth Proportional to 292,990.36, 404,334.66 and 165,685

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Solution

The fourth proportional to 292,990.36, 404,334.66 and 165,685 is: 228,649.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,990.36 : 404,334.66 = 165,685 : x
  2. Step 2: Convert to fraction form
    292,990.36/404,334.66 = 165,685/x
  3. Step 3: Cross multiply
    292,990.36x = 404,334.66 × 165,685
  4. Step 4: Simplify right side
    292,990.36x = 66,992,188,142.10
  5. Step 5: Solve for x
    x = 66,992,188,142.10/292,990.36
  6. Step 6: Final answer
    x = 228,649.80

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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.