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Finding the Fourth Proportional to 306,497.43, 459,786.31 and 101,263.90

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Solution

The fourth proportional to 306,497.43, 459,786.31 and 101,263.90 is: 151,909.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,497.43 : 459,786.31 = 101,263.90 : x
  2. Step 2: Convert to fraction form
    306,497.43/459,786.31 = 101,263.90/x
  3. Step 3: Cross multiply
    306,497.43x = 459,786.31 × 101,263.90
  4. Step 4: Simplify right side
    306,497.43x = 46,559,752,111.96
  5. Step 5: Solve for x
    x = 46,559,752,111.96/306,497.43
  6. Step 6: Final answer
    x = 151,909.11

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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.