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Finding the Fourth Proportional to 538,490.78, 743,243.91 and 334,695.61

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Solution

The fourth proportional to 538,490.78, 743,243.91 and 334,695.61 is: 461,958.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,490.78 : 743,243.91 = 334,695.61 : x
  2. Step 2: Convert to fraction form
    538,490.78/743,243.91 = 334,695.61/x
  3. Step 3: Cross multiply
    538,490.78x = 743,243.91 × 334,695.61
  4. Step 4: Simplify right side
    538,490.78x = 248,760,472,162.76
  5. Step 5: Solve for x
    x = 248,760,472,162.76/538,490.78
  6. Step 6: Final answer
    x = 461,958.65

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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.