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Finding the Fourth Proportional to 321,010.74, 442,996.14 and 177,767.70

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Solution

The fourth proportional to 321,010.74, 442,996.14 and 177,767.70 is: 245,320.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,010.74 : 442,996.14 = 177,767.70 : x
  2. Step 2: Convert to fraction form
    321,010.74/442,996.14 = 177,767.70/x
  3. Step 3: Cross multiply
    321,010.74x = 442,996.14 × 177,767.70
  4. Step 4: Simplify right side
    321,010.74x = 78,750,404,916.68
  5. Step 5: Solve for x
    x = 78,750,404,916.68/321,010.74
  6. Step 6: Final answer
    x = 245,320.16

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1.5x scale

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.