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Finding the Fourth Proportional to 306,199.85, 459,354.85 and 126,185.04

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Solution

The fourth proportional to 306,199.85, 459,354.85 and 126,185.04 is: 189,300.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,199.85 : 459,354.85 = 126,185.04 : x
  2. Step 2: Convert to fraction form
    306,199.85/459,354.85 = 126,185.04/x
  3. Step 3: Cross multiply
    306,199.85x = 459,354.85 × 126,185.04
  4. Step 4: Simplify right side
    306,199.85x = 57,963,709,805.98
  5. Step 5: Solve for x
    x = 57,963,709,805.98/306,199.85
  6. Step 6: Final answer
    x = 189,300.26

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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.