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Finding the Fourth Proportional to 289,572.77, 399,610.16 and 162,249.28

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Solution

The fourth proportional to 289,572.77, 399,610.16 and 162,249.28 is: 223,903.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,572.77 : 399,610.16 = 162,249.28 : x
  2. Step 2: Convert to fraction form
    289,572.77/399,610.16 = 162,249.28/x
  3. Step 3: Cross multiply
    289,572.77x = 399,610.16 × 162,249.28
  4. Step 4: Simplify right side
    289,572.77x = 64,836,459,538.85
  5. Step 5: Solve for x
    x = 64,836,459,538.85/289,572.77
  6. Step 6: Final answer
    x = 223,903.85

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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.