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Finding the Fourth Proportional to 306,858.48, 423,453.24 and 170,898

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Solution

The fourth proportional to 306,858.48, 423,453.24 and 170,898 is: 235,832.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,858.48 : 423,453.24 = 170,898 : x
  2. Step 2: Convert to fraction form
    306,858.48/423,453.24 = 170,898/x
  3. Step 3: Cross multiply
    306,858.48x = 423,453.24 × 170,898
  4. Step 4: Simplify right side
    306,858.48x = 72,367,311,809.52
  5. Step 5: Solve for x
    x = 72,367,311,809.52/306,858.48
  6. Step 6: Final answer
    x = 235,832.86

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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.