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Finding the Fourth Proportional to 306,536.86, 459,799.92 and 137,937.86

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Solution

The fourth proportional to 306,536.86, 459,799.92 and 137,937.86 is: 206,904.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,536.86 : 459,799.92 = 137,937.86 : x
  2. Step 2: Convert to fraction form
    306,536.86/459,799.92 = 137,937.86/x
  3. Step 3: Cross multiply
    306,536.86x = 459,799.92 × 137,937.86
  4. Step 4: Simplify right side
    306,536.86x = 63,423,816,992.97
  5. Step 5: Solve for x
    x = 63,423,816,992.97/306,536.86
  6. Step 6: Final answer
    x = 206,904.37

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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.