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Finding the Fourth Proportional to 640,448.64, 960,777.36 and 197,216.64

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Solution

The fourth proportional to 640,448.64, 960,777.36 and 197,216.64 is: 295,857.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,448.64 : 960,777.36 = 197,216.64 : x
  2. Step 2: Convert to fraction form
    640,448.64/960,777.36 = 197,216.64/x
  3. Step 3: Cross multiply
    640,448.64x = 960,777.36 × 197,216.64
  4. Step 4: Simplify right side
    640,448.64x = 189,481,282,727.27
  5. Step 5: Solve for x
    x = 189,481,282,727.27/640,448.64
  6. Step 6: Final answer
    x = 295,857.11

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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.