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Finding the Fourth Proportional to 613,686.06, 920,616.57 and 297,927

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Solution

The fourth proportional to 613,686.06, 920,616.57 and 297,927 is: 446,932.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,686.06 : 920,616.57 = 297,927 : x
  2. Step 2: Convert to fraction form
    613,686.06/920,616.57 = 297,927/x
  3. Step 3: Cross multiply
    613,686.06x = 920,616.57 × 297,927
  4. Step 4: Simplify right side
    613,686.06x = 274,276,532,850.39
  5. Step 5: Solve for x
    x = 274,276,532,850.39/613,686.06
  6. Step 6: Final answer
    x = 446,932.97

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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.