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Finding the Fourth Proportional to 309,530.23, 427,169.51 and 173,607.78

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Solution

The fourth proportional to 309,530.23, 427,169.51 and 173,607.78 is: 239,588.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,530.23 : 427,169.51 = 173,607.78 : x
  2. Step 2: Convert to fraction form
    309,530.23/427,169.51 = 173,607.78/x
  3. Step 3: Cross multiply
    309,530.23x = 427,169.51 × 173,607.78
  4. Step 4: Simplify right side
    309,530.23x = 74,159,947,310.90
  5. Step 5: Solve for x
    x = 74,159,947,310.90/309,530.23
  6. Step 6: Final answer
    x = 239,588.71

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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.