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Finding the Fourth Proportional to 255,885.28, 384,160.52 and 196,762.47

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Solution

The fourth proportional to 255,885.28, 384,160.52 and 196,762.47 is: 295,399.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,885.28 : 384,160.52 = 196,762.47 : x
  2. Step 2: Convert to fraction form
    255,885.28/384,160.52 = 196,762.47/x
  3. Step 3: Cross multiply
    255,885.28x = 384,160.52 × 196,762.47
  4. Step 4: Simplify right side
    255,885.28x = 75,588,371,842.99
  5. Step 5: Solve for x
    x = 75,588,371,842.99/255,885.28
  6. Step 6: Final answer
    x = 295,399.46

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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.