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Finding the Fourth Proportional to 613,764.65, 919,091.78 and 489,348.65

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Solution

The fourth proportional to 613,764.65, 919,091.78 and 489,348.65 is: 732,783.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,764.65 : 919,091.78 = 489,348.65 : x
  2. Step 2: Convert to fraction form
    613,764.65/919,091.78 = 489,348.65/x
  3. Step 3: Cross multiply
    613,764.65x = 919,091.78 × 489,348.65
  4. Step 4: Simplify right side
    613,764.65x = 449,756,319,322.35
  5. Step 5: Solve for x
    x = 449,756,319,322.35/613,764.65
  6. Step 6: Final answer
    x = 732,783.03

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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.