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Finding the Fourth Proportional to 293,010.40, 438,824.40 and 199,007.20

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Solution

The fourth proportional to 293,010.40, 438,824.40 and 199,007.20 is: 298,041.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,010.40 : 438,824.40 = 199,007.20 : x
  2. Step 2: Convert to fraction form
    293,010.40/438,824.40 = 199,007.20/x
  3. Step 3: Cross multiply
    293,010.40x = 438,824.40 × 199,007.20
  4. Step 4: Simplify right side
    293,010.40x = 87,329,215,135.68
  5. Step 5: Solve for x
    x = 87,329,215,135.68/293,010.40
  6. Step 6: Final answer
    x = 298,041.35

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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.