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Finding the Fourth Proportional to 302,019.39, 416,761.96 and 177,820.63

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Solution

The fourth proportional to 302,019.39, 416,761.96 and 177,820.63 is: 245,377.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,019.39 : 416,761.96 = 177,820.63 : x
  2. Step 2: Convert to fraction form
    302,019.39/416,761.96 = 177,820.63/x
  3. Step 3: Cross multiply
    302,019.39x = 416,761.96 × 177,820.63
  4. Step 4: Simplify right side
    302,019.39x = 74,108,874,287.23
  5. Step 5: Solve for x
    x = 74,108,874,287.23/302,019.39
  6. Step 6: Final answer
    x = 245,377.87

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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.