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Finding the Fourth Proportional to 311,530.63, 429,906.32 and 175,561.85

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Solution

The fourth proportional to 311,530.63, 429,906.32 and 175,561.85 is: 242,272.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,530.63 : 429,906.32 = 175,561.85 : x
  2. Step 2: Convert to fraction form
    311,530.63/429,906.32 = 175,561.85/x
  3. Step 3: Cross multiply
    311,530.63x = 429,906.32 × 175,561.85
  4. Step 4: Simplify right side
    311,530.63x = 75,475,150,032.98
  5. Step 5: Solve for x
    x = 75,475,150,032.98/311,530.63
  6. Step 6: Final answer
    x = 242,272.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.