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Finding the Fourth Proportional to 298,805.31, 412,335.43 and 171,472.50

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Solution

The fourth proportional to 298,805.31, 412,335.43 and 171,472.50 is: 236,622.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,805.31 : 412,335.43 = 171,472.50 : x
  2. Step 2: Convert to fraction form
    298,805.31/412,335.43 = 171,472.50/x
  3. Step 3: Cross multiply
    298,805.31x = 412,335.43 × 171,472.50
  4. Step 4: Simplify right side
    298,805.31x = 70,704,186,591.99
  5. Step 5: Solve for x
    x = 70,704,186,591.99/298,805.31
  6. Step 6: Final answer
    x = 236,622.93

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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.