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Finding the Fourth Proportional to 643,513.20, 964,978.20 and 244,021.20

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Solution

The fourth proportional to 643,513.20, 964,978.20 and 244,021.20 is: 365,921.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,513.20 : 964,978.20 = 244,021.20 : x
  2. Step 2: Convert to fraction form
    643,513.20/964,978.20 = 244,021.20/x
  3. Step 3: Cross multiply
    643,513.20x = 964,978.20 × 244,021.20
  4. Step 4: Simplify right side
    643,513.20x = 235,475,138,337.84
  5. Step 5: Solve for x
    x = 235,475,138,337.84/643,513.20
  6. Step 6: Final answer
    x = 365,921.22

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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.