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Finding the Fourth Proportional to 538,062.89, 742,560.49 and 296,345.41

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Solution

The fourth proportional to 538,062.89, 742,560.49 and 296,345.41 is: 408,975.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,062.89 : 742,560.49 = 296,345.41 : x
  2. Step 2: Convert to fraction form
    538,062.89/742,560.49 = 296,345.41/x
  3. Step 3: Cross multiply
    538,062.89x = 742,560.49 × 296,345.41
  4. Step 4: Simplify right side
    538,062.89x = 220,054,392,858.85
  5. Step 5: Solve for x
    x = 220,054,392,858.85/538,062.89
  6. Step 6: Final answer
    x = 408,975.23

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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.