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Finding the Fourth Proportional to 538,383.66, 743,002.02 and 296,665.86

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Solution

The fourth proportional to 538,383.66, 743,002.02 and 296,665.86 is: 409,416.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,383.66 : 743,002.02 = 296,665.86 : x
  2. Step 2: Convert to fraction form
    538,383.66/743,002.02 = 296,665.86/x
  3. Step 3: Cross multiply
    538,383.66x = 743,002.02 × 296,665.86
  4. Step 4: Simplify right side
    538,383.66x = 220,423,333,245.04
  5. Step 5: Solve for x
    x = 220,423,333,245.04/538,383.66
  6. Step 6: Final answer
    x = 409,416.83

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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.