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Finding the Fourth Proportional to 298,961.40, 412,585.12 and 171,656.13

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Solution

The fourth proportional to 298,961.40, 412,585.12 and 171,656.13 is: 236,896.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,961.40 : 412,585.12 = 171,656.13 : x
  2. Step 2: Convert to fraction form
    298,961.40/412,585.12 = 171,656.13/x
  3. Step 3: Cross multiply
    298,961.40x = 412,585.12 × 171,656.13
  4. Step 4: Simplify right side
    298,961.40x = 70,822,764,994.79
  5. Step 5: Solve for x
    x = 70,822,764,994.79/298,961.40
  6. Step 6: Final answer
    x = 236,896.02

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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.