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Finding the Fourth Proportional to 613,620.40, 920,054.76 and 239,206

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Solution

The fourth proportional to 613,620.40, 920,054.76 and 239,206 is: 358,662.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,620.40 : 920,054.76 = 239,206 : x
  2. Step 2: Convert to fraction form
    613,620.40/920,054.76 = 239,206/x
  3. Step 3: Cross multiply
    613,620.40x = 920,054.76 × 239,206
  4. Step 4: Simplify right side
    613,620.40x = 220,082,618,920.56
  5. Step 5: Solve for x
    x = 220,082,618,920.56/613,620.40
  6. Step 6: Final answer
    x = 358,662.49

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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.