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Finding the Fourth Proportional to 486,924.60, 729,512.10 and 416,940.60

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Solution

The fourth proportional to 486,924.60, 729,512.10 and 416,940.60 is: 624,661.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,924.60 : 729,512.10 = 416,940.60 : x
  2. Step 2: Convert to fraction form
    486,924.60/729,512.10 = 416,940.60/x
  3. Step 3: Cross multiply
    486,924.60x = 729,512.10 × 416,940.60
  4. Step 4: Simplify right side
    486,924.60x = 304,163,212,681.26
  5. Step 5: Solve for x
    x = 304,163,212,681.26/486,924.60
  6. Step 6: Final answer
    x = 624,661.83

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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.