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Finding the Fourth Proportional to 722,597.12, 997,180.80 and 416,672

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Solution

The fourth proportional to 722,597.12, 997,180.80 and 416,672 is: 575,005.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,597.12 : 997,180.80 = 416,672 : x
  2. Step 2: Convert to fraction form
    722,597.12/997,180.80 = 416,672/x
  3. Step 3: Cross multiply
    722,597.12x = 997,180.80 × 416,672
  4. Step 4: Simplify right side
    722,597.12x = 415,497,318,297.60
  5. Step 5: Solve for x
    x = 415,497,318,297.60/722,597.12
  6. Step 6: Final answer
    x = 575,005.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.