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Finding the Fourth Proportional to 538,057.80, 742,510.62 and 296,362.98

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Solution

The fourth proportional to 538,057.80, 742,510.62 and 296,362.98 is: 408,975.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,057.80 : 742,510.62 = 296,362.98 : x
  2. Step 2: Convert to fraction form
    538,057.80/742,510.62 = 296,362.98/x
  3. Step 3: Cross multiply
    538,057.80x = 742,510.62 × 296,362.98
  4. Step 4: Simplify right side
    538,057.80x = 220,052,660,024.85
  5. Step 5: Solve for x
    x = 220,052,660,024.85/538,057.80
  6. Step 6: Final answer
    x = 408,975.88

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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.