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Finding the Fourth Proportional to 420,364.35, 580,116.78 and 229,388.22

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Solution

The fourth proportional to 420,364.35, 580,116.78 and 229,388.22 is: 316,563.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,364.35 : 580,116.78 = 229,388.22 : x
  2. Step 2: Convert to fraction form
    420,364.35/580,116.78 = 229,388.22/x
  3. Step 3: Cross multiply
    420,364.35x = 580,116.78 × 229,388.22
  4. Step 4: Simplify right side
    420,364.35x = 133,071,955,556.33
  5. Step 5: Solve for x
    x = 133,071,955,556.33/420,364.35
  6. Step 6: Final answer
    x = 316,563.37

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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.