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Finding the Fourth Proportional to 225,955.91, 311,535.45 and 165,421.46

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Solution

The fourth proportional to 225,955.91, 311,535.45 and 165,421.46 is: 228,073.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,955.91 : 311,535.45 = 165,421.46 : x
  2. Step 2: Convert to fraction form
    225,955.91/311,535.45 = 165,421.46/x
  3. Step 3: Cross multiply
    225,955.91x = 311,535.45 × 165,421.46
  4. Step 4: Simplify right side
    225,955.91x = 51,534,647,423.08
  5. Step 5: Solve for x
    x = 51,534,647,423.08/225,955.91
  6. Step 6: Final answer
    x = 228,073.91

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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.