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Finding the Fourth Proportional to 253,950.12, 380,932.20 and 141,567.48

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Solution

The fourth proportional to 253,950.12, 380,932.20 and 141,567.48 is: 212,355.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,950.12 : 380,932.20 = 141,567.48 : x
  2. Step 2: Convert to fraction form
    253,950.12/380,932.20 = 141,567.48/x
  3. Step 3: Cross multiply
    253,950.12x = 380,932.20 × 141,567.48
  4. Step 4: Simplify right side
    253,950.12x = 53,927,611,604.86
  5. Step 5: Solve for x
    x = 53,927,611,604.86/253,950.12
  6. Step 6: Final answer
    x = 212,355.13

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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.