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Finding the Fourth Proportional to 613,187.84, 919,448.20 and 213,721.40

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Solution

The fourth proportional to 613,187.84, 919,448.20 and 213,721.40 is: 320,465.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,187.84 : 919,448.20 = 213,721.40 : x
  2. Step 2: Convert to fraction form
    613,187.84/919,448.20 = 213,721.40/x
  3. Step 3: Cross multiply
    613,187.84x = 919,448.20 × 213,721.40
  4. Step 4: Simplify right side
    613,187.84x = 196,505,756,531.48
  5. Step 5: Solve for x
    x = 196,505,756,531.48/613,187.84
  6. Step 6: Final answer
    x = 320,465.84

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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.