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Finding the Fourth Proportional to 306,535.86, 459,798.42 and 137,936.86

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Solution

The fourth proportional to 306,535.86, 459,798.42 and 137,936.86 is: 206,902.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,535.86 : 459,798.42 = 137,936.86 : x
  2. Step 2: Convert to fraction form
    306,535.86/459,798.42 = 137,936.86/x
  3. Step 3: Cross multiply
    306,535.86x = 459,798.42 × 137,936.86
  4. Step 4: Simplify right side
    306,535.86x = 63,423,147,988.77
  5. Step 5: Solve for x
    x = 63,423,147,988.77/306,535.86
  6. Step 6: Final answer
    x = 206,902.87

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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.