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Finding the Fourth Proportional to 489,164.40, 732,839.40 and 278,175.60

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Solution

The fourth proportional to 489,164.40, 732,839.40 and 278,175.60 is: 416,747.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,164.40 : 732,839.40 = 278,175.60 : x
  2. Step 2: Convert to fraction form
    489,164.40/732,839.40 = 278,175.60/x
  3. Step 3: Cross multiply
    489,164.40x = 732,839.40 × 278,175.60
  4. Step 4: Simplify right side
    489,164.40x = 203,858,039,798.64
  5. Step 5: Solve for x
    x = 203,858,039,798.64/489,164.40
  6. Step 6: Final answer
    x = 416,747.50

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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.