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Finding the Fourth Proportional to 538,399.76, 806,838.29 and 298,619.30

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Solution

The fourth proportional to 538,399.76, 806,838.29 and 298,619.30 is: 447,506.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,399.76 : 806,838.29 = 298,619.30 : x
  2. Step 2: Convert to fraction form
    538,399.76/806,838.29 = 298,619.30/x
  3. Step 3: Cross multiply
    538,399.76x = 806,838.29 × 298,619.30
  4. Step 4: Simplify right side
    538,399.76x = 240,937,487,289.38
  5. Step 5: Solve for x
    x = 240,937,487,289.38/538,399.76
  6. Step 6: Final answer
    x = 447,506.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.