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Finding the Fourth Proportional to 613,243.26, 920,017.98 and 213,889.77

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Solution

The fourth proportional to 613,243.26, 920,017.98 and 213,889.77 is: 320,888.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,243.26 : 920,017.98 = 213,889.77 : x
  2. Step 2: Convert to fraction form
    613,243.26/920,017.98 = 213,889.77/x
  3. Step 3: Cross multiply
    613,243.26x = 920,017.98 × 213,889.77
  4. Step 4: Simplify right side
    613,243.26x = 196,782,428,468.53
  5. Step 5: Solve for x
    x = 196,782,428,468.53/613,243.26
  6. Step 6: Final answer
    x = 320,888.04

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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.