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Finding the Fourth Proportional to 538,049.94, 742,542.50 and 296,332.45

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Solution

The fourth proportional to 538,049.94, 742,542.50 and 296,332.45 is: 408,957.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,049.94 : 742,542.50 = 296,332.45 : x
  2. Step 2: Convert to fraction form
    538,049.94/742,542.50 = 296,332.45/x
  3. Step 3: Cross multiply
    538,049.94x = 742,542.50 × 296,332.45
  4. Step 4: Simplify right side
    538,049.94x = 220,039,438,254.13
  5. Step 5: Solve for x
    x = 220,039,438,254.13/538,049.94
  6. Step 6: Final answer
    x = 408,957.28

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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.