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Finding the Fourth Proportional to 311,608, 430,009.92 and 175,649.92

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Solution

The fourth proportional to 311,608, 430,009.92 and 175,649.92 is: 242,391.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,608 : 430,009.92 = 175,649.92 : x
  2. Step 2: Convert to fraction form
    311,608/430,009.92 = 175,649.92/x
  3. Step 3: Cross multiply
    311,608x = 430,009.92 × 175,649.92
  4. Step 4: Simplify right side
    311,608x = 75,531,208,047.21
  5. Step 5: Solve for x
    x = 75,531,208,047.21/311,608
  6. Step 6: Final answer
    x = 242,391.75

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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.