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Finding the Fourth Proportional to 311,529.92, 429,910.74 and 168,289.52

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Solution

The fourth proportional to 311,529.92, 429,910.74 and 168,289.52 is: 232,239.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,529.92 : 429,910.74 = 168,289.52 : x
  2. Step 2: Convert to fraction form
    311,529.92/429,910.74 = 168,289.52/x
  3. Step 3: Cross multiply
    311,529.92x = 429,910.74 × 168,289.52
  4. Step 4: Simplify right side
    311,529.92x = 72,349,469,927.89
  5. Step 5: Solve for x
    x = 72,349,469,927.89/311,529.92
  6. Step 6: Final answer
    x = 232,239.24

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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.