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Finding the Fourth Proportional to 306,490.42, 459,731.01 and 137,891.70

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Solution

The fourth proportional to 306,490.42, 459,731.01 and 137,891.70 is: 206,835.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,490.42 : 459,731.01 = 137,891.70 : x
  2. Step 2: Convert to fraction form
    306,490.42/459,731.01 = 137,891.70/x
  3. Step 3: Cross multiply
    306,490.42x = 459,731.01 × 137,891.70
  4. Step 4: Simplify right side
    306,490.42x = 63,393,090,511.62
  5. Step 5: Solve for x
    x = 63,393,090,511.62/306,490.42
  6. Step 6: Final answer
    x = 206,835.47

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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.