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Finding the Fourth Proportional to 613,969.74, 920,909.66 and 193,365.90

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Solution

The fourth proportional to 613,969.74, 920,909.66 and 193,365.90 is: 290,034.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,969.74 : 920,909.66 = 193,365.90 : x
  2. Step 2: Convert to fraction form
    613,969.74/920,909.66 = 193,365.90/x
  3. Step 3: Cross multiply
    613,969.74x = 920,909.66 × 193,365.90
  4. Step 4: Simplify right side
    613,969.74x = 178,072,524,257.77
  5. Step 5: Solve for x
    x = 178,072,524,257.77/613,969.74
  6. Step 6: Final answer
    x = 290,034.69

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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.