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Finding the Fourth Proportional to 320,795.88, 442,691.34 and 177,547.32

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Solution

The fourth proportional to 320,795.88, 442,691.34 and 177,547.32 is: 245,011.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,795.88 : 442,691.34 = 177,547.32 : x
  2. Step 2: Convert to fraction form
    320,795.88/442,691.34 = 177,547.32/x
  3. Step 3: Cross multiply
    320,795.88x = 442,691.34 × 177,547.32
  4. Step 4: Simplify right side
    320,795.88x = 78,598,661,004.21
  5. Step 5: Solve for x
    x = 78,598,661,004.21/320,795.88
  6. Step 6: Final answer
    x = 245,011.44

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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.