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Finding the Fourth Proportional to 438,745.20, 658,895.40 and 339,147.60

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Solution

The fourth proportional to 438,745.20, 658,895.40 and 339,147.60 is: 509,322.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,745.20 : 658,895.40 = 339,147.60 : x
  2. Step 2: Convert to fraction form
    438,745.20/658,895.40 = 339,147.60/x
  3. Step 3: Cross multiply
    438,745.20x = 658,895.40 × 339,147.60
  4. Step 4: Simplify right side
    438,745.20x = 223,462,793,561.04
  5. Step 5: Solve for x
    x = 223,462,793,561.04/438,745.20
  6. Step 6: Final answer
    x = 509,322.48

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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.