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Finding the Fourth Proportional to 298,057.79, 447,283.64 and 140,331.35

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Solution

The fourth proportional to 298,057.79, 447,283.64 and 140,331.35 is: 210,589.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,057.79 : 447,283.64 = 140,331.35 : x
  2. Step 2: Convert to fraction form
    298,057.79/447,283.64 = 140,331.35/x
  3. Step 3: Cross multiply
    298,057.79x = 447,283.64 × 140,331.35
  4. Step 4: Simplify right side
    298,057.79x = 62,767,917,034.11
  5. Step 5: Solve for x
    x = 62,767,917,034.11/298,057.79
  6. Step 6: Final answer
    x = 210,589.76

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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.