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Finding the Fourth Proportional to 538,383.07, 743,001.74 and 296,665.57

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Solution

The fourth proportional to 538,383.07, 743,001.74 and 296,665.57 is: 409,416.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,383.07 : 743,001.74 = 296,665.57 : x
  2. Step 2: Convert to fraction form
    538,383.07/743,001.74 = 296,665.57/x
  3. Step 3: Cross multiply
    538,383.07x = 743,001.74 × 296,665.57
  4. Step 4: Simplify right side
    538,383.07x = 220,423,034,708.09
  5. Step 5: Solve for x
    x = 220,423,034,708.09/538,383.07
  6. Step 6: Final answer
    x = 409,416.73

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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.