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Finding the Fourth Proportional to 416,705.05, 575,052.42 and 225,719.20

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Solution

The fourth proportional to 416,705.05, 575,052.42 and 225,719.20 is: 311,492.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,705.05 : 575,052.42 = 225,719.20 : x
  2. Step 2: Convert to fraction form
    416,705.05/575,052.42 = 225,719.20/x
  3. Step 3: Cross multiply
    416,705.05x = 575,052.42 × 225,719.20
  4. Step 4: Simplify right side
    416,705.05x = 129,800,372,200.46
  5. Step 5: Solve for x
    x = 129,800,372,200.46/416,705.05
  6. Step 6: Final answer
    x = 311,492.20

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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.