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Finding the Fourth Proportional to 538,406.30, 806,848.10 and 298,625.84

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Solution

The fourth proportional to 538,406.30, 806,848.10 and 298,625.84 is: 447,516.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,406.30 : 806,848.10 = 298,625.84 : x
  2. Step 2: Convert to fraction form
    538,406.30/806,848.10 = 298,625.84/x
  3. Step 3: Cross multiply
    538,406.30x = 806,848.10 × 298,625.84
  4. Step 4: Simplify right side
    538,406.30x = 240,945,689,393.18
  5. Step 5: Solve for x
    x = 240,945,689,393.18/538,406.30
  6. Step 6: Final answer
    x = 447,516.48

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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.