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Finding the Fourth Proportional to 306,557.46, 459,830.84 and 137,958.48

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Solution

The fourth proportional to 306,557.46, 459,830.84 and 137,958.48 is: 206,935.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,557.46 : 459,830.84 = 137,958.48 : x
  2. Step 2: Convert to fraction form
    306,557.46/459,830.84 = 137,958.48/x
  3. Step 3: Cross multiply
    306,557.46x = 459,830.84 × 137,958.48
  4. Step 4: Simplify right side
    306,557.46x = 63,437,563,053.73
  5. Step 5: Solve for x
    x = 63,437,563,053.73/306,557.46
  6. Step 6: Final answer
    x = 206,935.31

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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.