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Finding the Fourth Proportional to 380,805.28, 571,327.32 and 229,167.81

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Solution

The fourth proportional to 380,805.28, 571,327.32 and 229,167.81 is: 343,823.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,805.28 : 571,327.32 = 229,167.81 : x
  2. Step 2: Convert to fraction form
    380,805.28/571,327.32 = 229,167.81/x
  3. Step 3: Cross multiply
    380,805.28x = 571,327.32 × 229,167.81
  4. Step 4: Simplify right side
    380,805.28x = 130,929,830,717.57
  5. Step 5: Solve for x
    x = 130,929,830,717.57/380,805.28
  6. Step 6: Final answer
    x = 343,823.57

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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.