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Finding the Fourth Proportional to 660,656.97, 990,972 and 211,377.78

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Solution

The fourth proportional to 660,656.97, 990,972 and 211,377.78 is: 317,062.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,656.97 : 990,972 = 211,377.78 : x
  2. Step 2: Convert to fraction form
    660,656.97/990,972 = 211,377.78/x
  3. Step 3: Cross multiply
    660,656.97x = 990,972 × 211,377.78
  4. Step 4: Simplify right side
    660,656.97x = 209,469,461,402.16
  5. Step 5: Solve for x
    x = 209,469,461,402.16/660,656.97
  6. Step 6: Final answer
    x = 317,062.37

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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.