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Finding the Fourth Proportional to 613,486.60, 920,261.10 and 192,766.60

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Solution

The fourth proportional to 613,486.60, 920,261.10 and 192,766.60 is: 289,159.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,486.60 : 920,261.10 = 192,766.60 : x
  2. Step 2: Convert to fraction form
    613,486.60/920,261.10 = 192,766.60/x
  3. Step 3: Cross multiply
    613,486.60x = 920,261.10 × 192,766.60
  4. Step 4: Simplify right side
    613,486.60x = 177,395,603,359.26
  5. Step 5: Solve for x
    x = 177,395,603,359.26/613,486.60
  6. Step 6: Final answer
    x = 289,159.70

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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.