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Finding the Fourth Proportional to 417,969.45, 576,889.70 and 274,742.82

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Solution

The fourth proportional to 417,969.45, 576,889.70 and 274,742.82 is: 379,205.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,969.45 : 576,889.70 = 274,742.82 : x
  2. Step 2: Convert to fraction form
    417,969.45/576,889.70 = 274,742.82/x
  3. Step 3: Cross multiply
    417,969.45x = 576,889.70 × 274,742.82
  4. Step 4: Simplify right side
    417,969.45x = 158,496,301,633.24
  5. Step 5: Solve for x
    x = 158,496,301,633.24/417,969.45
  6. Step 6: Final answer
    x = 379,205.47

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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.