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Finding the Fourth Proportional to 256,025.12, 353,230.40 and 165,434.48

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Solution

The fourth proportional to 256,025.12, 353,230.40 and 165,434.48 is: 228,245.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,025.12 : 353,230.40 = 165,434.48 : x
  2. Step 2: Convert to fraction form
    256,025.12/353,230.40 = 165,434.48/x
  3. Step 3: Cross multiply
    256,025.12x = 353,230.40 × 165,434.48
  4. Step 4: Simplify right side
    256,025.12x = 58,436,487,544.19
  5. Step 5: Solve for x
    x = 58,436,487,544.19/256,025.12
  6. Step 6: Final answer
    x = 228,245.13

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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.