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Finding the Fourth Proportional to 309,185.53, 463,755.62 and 98,766.97

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Solution

The fourth proportional to 309,185.53, 463,755.62 and 98,766.97 is: 148,143.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,185.53 : 463,755.62 = 98,766.97 : x
  2. Step 2: Convert to fraction form
    309,185.53/463,755.62 = 98,766.97/x
  3. Step 3: Cross multiply
    309,185.53x = 463,755.62 × 98,766.97
  4. Step 4: Simplify right side
    309,185.53x = 45,803,736,914.04
  5. Step 5: Solve for x
    x = 45,803,736,914.04/309,185.53
  6. Step 6: Final answer
    x = 148,143.21

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1.5x scale

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.