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Finding the Fourth Proportional to 309,482.44, 427,078.26 and 173,523.16

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Solution

The fourth proportional to 309,482.44, 427,078.26 and 173,523.16 is: 239,457.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,482.44 : 427,078.26 = 173,523.16 : x
  2. Step 2: Convert to fraction form
    309,482.44/427,078.26 = 173,523.16/x
  3. Step 3: Cross multiply
    309,482.44x = 427,078.26 × 173,523.16
  4. Step 4: Simplify right side
    309,482.44x = 74,107,969,242.50
  5. Step 5: Solve for x
    x = 74,107,969,242.50/309,482.44
  6. Step 6: Final answer
    x = 239,457.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.