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Finding the Fourth Proportional to 640,872, 961,320.96 and 197,640

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Solution

The fourth proportional to 640,872, 961,320.96 and 197,640 is: 296,464.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,872 : 961,320.96 = 197,640 : x
  2. Step 2: Convert to fraction form
    640,872/961,320.96 = 197,640/x
  3. Step 3: Cross multiply
    640,872x = 961,320.96 × 197,640
  4. Step 4: Simplify right side
    640,872x = 189,995,474,534.40
  5. Step 5: Solve for x
    x = 189,995,474,534.40/640,872
  6. Step 6: Final answer
    x = 296,464.00

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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.