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Finding the Fourth Proportional to 643,514.70, 964,980.45 and 244,022.70

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Solution

The fourth proportional to 643,514.70, 964,980.45 and 244,022.70 is: 365,923.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,514.70 : 964,980.45 = 244,022.70 : x
  2. Step 2: Convert to fraction form
    643,514.70/964,980.45 = 244,022.70/x
  3. Step 3: Cross multiply
    643,514.70x = 964,980.45 × 244,022.70
  4. Step 4: Simplify right side
    643,514.70x = 235,477,134,856.22
  5. Step 5: Solve for x
    x = 235,477,134,856.22/643,514.70
  6. Step 6: Final answer
    x = 365,923.47

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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.