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Finding the Fourth Proportional to 311,296.44, 429,564.78 and 175,323

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Solution

The fourth proportional to 311,296.44, 429,564.78 and 175,323 is: 241,932.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,296.44 : 429,564.78 = 175,323 : x
  2. Step 2: Convert to fraction form
    311,296.44/429,564.78 = 175,323/x
  3. Step 3: Cross multiply
    311,296.44x = 429,564.78 × 175,323
  4. Step 4: Simplify right side
    311,296.44x = 75,312,585,923.94
  5. Step 5: Solve for x
    x = 75,312,585,923.94/311,296.44
  6. Step 6: Final answer
    x = 241,932.05

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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.