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Finding the Fourth Proportional to 320,931, 442,887.80 and 177,694.11

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Solution

The fourth proportional to 320,931, 442,887.80 and 177,694.11 is: 245,219.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,931 : 442,887.80 = 177,694.11 : x
  2. Step 2: Convert to fraction form
    320,931/442,887.80 = 177,694.11/x
  3. Step 3: Cross multiply
    320,931x = 442,887.80 × 177,694.11
  4. Step 4: Simplify right side
    320,931x = 78,698,552,562.39
  5. Step 5: Solve for x
    x = 78,698,552,562.39/320,931
  6. Step 6: Final answer
    x = 245,219.54

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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.