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Finding the Fourth Proportional to 337,078.12, 505,493.10 and 137,290

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Solution

The fourth proportional to 337,078.12, 505,493.10 and 137,290 is: 205,884.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,078.12 : 505,493.10 = 137,290 : x
  2. Step 2: Convert to fraction form
    337,078.12/505,493.10 = 137,290/x
  3. Step 3: Cross multiply
    337,078.12x = 505,493.10 × 137,290
  4. Step 4: Simplify right side
    337,078.12x = 69,399,147,699
  5. Step 5: Solve for x
    x = 69,399,147,699/337,078.12
  6. Step 6: Final answer
    x = 205,884.46

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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.