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Finding the Fourth Proportional to 337,020.30, 505,389.87 and 137,205

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Solution

The fourth proportional to 337,020.30, 505,389.87 and 137,205 is: 205,750.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,020.30 : 505,389.87 = 137,205 : x
  2. Step 2: Convert to fraction form
    337,020.30/505,389.87 = 137,205/x
  3. Step 3: Cross multiply
    337,020.30x = 505,389.87 × 137,205
  4. Step 4: Simplify right side
    337,020.30x = 69,342,017,113.35
  5. Step 5: Solve for x
    x = 69,342,017,113.35/337,020.30
  6. Step 6: Final answer
    x = 205,750.27

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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.