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Finding the Fourth Proportional to 613,013.86, 919,943.61 and 213,657.94

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Solution

The fourth proportional to 613,013.86, 919,943.61 and 213,657.94 is: 320,634.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,013.86 : 919,943.61 = 213,657.94 : x
  2. Step 2: Convert to fraction form
    613,013.86/919,943.61 = 213,657.94/x
  3. Step 3: Cross multiply
    613,013.86x = 919,943.61 × 213,657.94
  4. Step 4: Simplify right side
    613,013.86x = 196,553,256,628.76
  5. Step 5: Solve for x
    x = 196,553,256,628.76/613,013.86
  6. Step 6: Final answer
    x = 320,634.28

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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.