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Finding the Fourth Proportional to 538,696.12, 743,395.60 and 293,680.84

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Solution

The fourth proportional to 538,696.12, 743,395.60 and 293,680.84 is: 405,276.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,696.12 : 743,395.60 = 293,680.84 : x
  2. Step 2: Convert to fraction form
    538,696.12/743,395.60 = 293,680.84/x
  3. Step 3: Cross multiply
    538,696.12x = 743,395.60 × 293,680.84
  4. Step 4: Simplify right side
    538,696.12x = 218,321,044,260.30
  5. Step 5: Solve for x
    x = 218,321,044,260.30/538,696.12
  6. Step 6: Final answer
    x = 405,276.81

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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.