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Finding the Fourth Proportional to 538,700.46, 743,383.88 and 293,679.92

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Solution

The fourth proportional to 538,700.46, 743,383.88 and 293,679.92 is: 405,265.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,700.46 : 743,383.88 = 293,679.92 : x
  2. Step 2: Convert to fraction form
    538,700.46/743,383.88 = 293,679.92/x
  3. Step 3: Cross multiply
    538,700.46x = 743,383.88 × 293,679.92
  4. Step 4: Simplify right side
    538,700.46x = 218,316,913,222.37
  5. Step 5: Solve for x
    x = 218,316,913,222.37/538,700.46
  6. Step 6: Final answer
    x = 405,265.87

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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.