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Finding the Fourth Proportional to 298,805.81, 412,336.12 and 171,473

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Solution

The fourth proportional to 298,805.81, 412,336.12 and 171,473 is: 236,623.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,805.81 : 412,336.12 = 171,473 : x
  2. Step 2: Convert to fraction form
    298,805.81/412,336.12 = 171,473/x
  3. Step 3: Cross multiply
    298,805.81x = 412,336.12 × 171,473
  4. Step 4: Simplify right side
    298,805.81x = 70,704,510,647.40
  5. Step 5: Solve for x
    x = 70,704,510,647.40/298,805.81
  6. Step 6: Final answer
    x = 236,623.61

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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.