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Finding the Fourth Proportional to 309,207.57, 463,804.77 and 84,568.02

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Solution

The fourth proportional to 309,207.57, 463,804.77 and 84,568.02 is: 126,850.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,207.57 : 463,804.77 = 84,568.02 : x
  2. Step 2: Convert to fraction form
    309,207.57/463,804.77 = 84,568.02/x
  3. Step 3: Cross multiply
    309,207.57x = 463,804.77 × 84,568.02
  4. Step 4: Simplify right side
    309,207.57x = 39,223,051,065.46
  5. Step 5: Solve for x
    x = 39,223,051,065.46/309,207.57
  6. Step 6: Final answer
    x = 126,850.23

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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.