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Finding the Fourth Proportional to 517,770.24, 776,660.48 and 143,795.20

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Solution

The fourth proportional to 517,770.24, 776,660.48 and 143,795.20 is: 215,694.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,770.24 : 776,660.48 = 143,795.20 : x
  2. Step 2: Convert to fraction form
    517,770.24/776,660.48 = 143,795.20/x
  3. Step 3: Cross multiply
    517,770.24x = 776,660.48 × 143,795.20
  4. Step 4: Simplify right side
    517,770.24x = 111,680,049,053.70
  5. Step 5: Solve for x
    x = 111,680,049,053.70/517,770.24
  6. Step 6: Final answer
    x = 215,694.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.