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Finding the Fourth Proportional to 337,022.30, 505,392.86 and 137,207

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Solution

The fourth proportional to 337,022.30, 505,392.86 and 137,207 is: 205,753.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,022.30 : 505,392.86 = 137,207 : x
  2. Step 2: Convert to fraction form
    337,022.30/505,392.86 = 137,207/x
  3. Step 3: Cross multiply
    337,022.30x = 505,392.86 × 137,207
  4. Step 4: Simplify right side
    337,022.30x = 69,343,438,142.02
  5. Step 5: Solve for x
    x = 69,343,438,142.02/337,022.30
  6. Step 6: Final answer
    x = 205,753.26

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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.