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Finding the Fourth Proportional to 339,862.86, 509,795.10 and 103,207.32

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Solution

The fourth proportional to 339,862.86, 509,795.10 and 103,207.32 is: 154,811.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,862.86 : 509,795.10 = 103,207.32 : x
  2. Step 2: Convert to fraction form
    339,862.86/509,795.10 = 103,207.32/x
  3. Step 3: Cross multiply
    339,862.86x = 509,795.10 × 103,207.32
  4. Step 4: Simplify right side
    339,862.86x = 52,614,586,020.13
  5. Step 5: Solve for x
    x = 52,614,586,020.13/339,862.86
  6. Step 6: Final answer
    x = 154,811.23

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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.