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Finding the Fourth Proportional to 306,135.72, 422,472.34 and 168,320.46

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Solution

The fourth proportional to 306,135.72, 422,472.34 and 168,320.46 is: 232,285.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,135.72 : 422,472.34 = 168,320.46 : x
  2. Step 2: Convert to fraction form
    306,135.72/422,472.34 = 168,320.46/x
  3. Step 3: Cross multiply
    306,135.72x = 422,472.34 × 168,320.46
  4. Step 4: Simplify right side
    306,135.72x = 71,110,738,606.08
  5. Step 5: Solve for x
    x = 71,110,738,606.08/306,135.72
  6. Step 6: Final answer
    x = 232,285.01

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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.