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Finding the Fourth Proportional to 320,894.98, 442,833.48 and 173,719.42

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Solution

The fourth proportional to 320,894.98, 442,833.48 and 173,719.42 is: 239,731.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,894.98 : 442,833.48 = 173,719.42 : x
  2. Step 2: Convert to fraction form
    320,894.98/442,833.48 = 173,719.42/x
  3. Step 3: Cross multiply
    320,894.98x = 442,833.48 × 173,719.42
  4. Step 4: Simplify right side
    320,894.98x = 76,928,775,302.18
  5. Step 5: Solve for x
    x = 76,928,775,302.18/320,894.98
  6. Step 6: Final answer
    x = 239,731.94

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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.