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Finding the Fourth Proportional to 288,973.70, 433,452.45 and 131,201.90

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Solution

The fourth proportional to 288,973.70, 433,452.45 and 131,201.90 is: 196,799.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,973.70 : 433,452.45 = 131,201.90 : x
  2. Step 2: Convert to fraction form
    288,973.70/433,452.45 = 131,201.90/x
  3. Step 3: Cross multiply
    288,973.70x = 433,452.45 × 131,201.90
  4. Step 4: Simplify right side
    288,973.70x = 56,869,784,999.66
  5. Step 5: Solve for x
    x = 56,869,784,999.66/288,973.70
  6. Step 6: Final answer
    x = 196,799.17

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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.