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Finding the Fourth Proportional to 259,505.52, 358,142.66 and 157,507.49

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Solution

The fourth proportional to 259,505.52, 358,142.66 and 157,507.49 is: 217,375.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,505.52 : 358,142.66 = 157,507.49 : x
  2. Step 2: Convert to fraction form
    259,505.52/358,142.66 = 157,507.49/x
  3. Step 3: Cross multiply
    259,505.52x = 358,142.66 × 157,507.49
  4. Step 4: Simplify right side
    259,505.52x = 56,410,148,860.27
  5. Step 5: Solve for x
    x = 56,410,148,860.27/259,505.52
  6. Step 6: Final answer
    x = 217,375.53

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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.