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Finding the Fourth Proportional to 438,413.88, 657,232.02 and 213,648.60

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Solution

The fourth proportional to 438,413.88, 657,232.02 and 213,648.60 is: 320,283.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,413.88 : 657,232.02 = 213,648.60 : x
  2. Step 2: Convert to fraction form
    438,413.88/657,232.02 = 213,648.60/x
  3. Step 3: Cross multiply
    438,413.88x = 657,232.02 × 213,648.60
  4. Step 4: Simplify right side
    438,413.88x = 140,416,700,948.17
  5. Step 5: Solve for x
    x = 140,416,700,948.17/438,413.88
  6. Step 6: Final answer
    x = 320,283.43

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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.