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Finding the Fourth Proportional to 293,326.44, 439,919.16 and 135,403.20

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Solution

The fourth proportional to 293,326.44, 439,919.16 and 135,403.20 is: 203,072.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,326.44 : 439,919.16 = 135,403.20 : x
  2. Step 2: Convert to fraction form
    293,326.44/439,919.16 = 135,403.20/x
  3. Step 3: Cross multiply
    293,326.44x = 439,919.16 × 135,403.20
  4. Step 4: Simplify right side
    293,326.44x = 59,566,462,005.31
  5. Step 5: Solve for x
    x = 59,566,462,005.31/293,326.44
  6. Step 6: Final answer
    x = 203,072.26

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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.