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Finding the Fourth Proportional to 538,659.90, 743,350.44 and 296,946.57

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Solution

The fourth proportional to 538,659.90, 743,350.44 and 296,946.57 is: 409,786.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,659.90 : 743,350.44 = 296,946.57 : x
  2. Step 2: Convert to fraction form
    538,659.90/743,350.44 = 296,946.57/x
  3. Step 3: Cross multiply
    538,659.90x = 743,350.44 × 296,946.57
  4. Step 4: Simplify right side
    538,659.90x = 220,735,363,465.99
  5. Step 5: Solve for x
    x = 220,735,363,465.99/538,659.90
  6. Step 6: Final answer
    x = 409,786.14

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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.