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Finding the Fourth Proportional to 665,403, 998,390.52 and 216,261.60

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Solution

The fourth proportional to 665,403, 998,390.52 and 216,261.60 is: 324,485.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,403 : 998,390.52 = 216,261.60 : x
  2. Step 2: Convert to fraction form
    665,403/998,390.52 = 216,261.60/x
  3. Step 3: Cross multiply
    665,403x = 998,390.52 × 216,261.60
  4. Step 4: Simplify right side
    665,403x = 215,913,531,280.03
  5. Step 5: Solve for x
    x = 215,913,531,280.03/665,403
  6. Step 6: Final answer
    x = 324,485.36

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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.