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Finding the Fourth Proportional to 613,769.66, 920,064 and 314,391.24

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Solution

The fourth proportional to 613,769.66, 920,064 and 314,391.24 is: 471,284.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,769.66 : 920,064 = 314,391.24 : x
  2. Step 2: Convert to fraction form
    613,769.66/920,064 = 314,391.24/x
  3. Step 3: Cross multiply
    613,769.66x = 920,064 × 314,391.24
  4. Step 4: Simplify right side
    613,769.66x = 289,260,061,839.36
  5. Step 5: Solve for x
    x = 289,260,061,839.36/613,769.66
  6. Step 6: Final answer
    x = 471,284.39

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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.