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Finding the Fourth Proportional to 311,868.98, 430,354.44 and 175,859.45

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Solution

The fourth proportional to 311,868.98, 430,354.44 and 175,859.45 is: 242,672.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,868.98 : 430,354.44 = 175,859.45 : x
  2. Step 2: Convert to fraction form
    311,868.98/430,354.44 = 175,859.45/x
  3. Step 3: Cross multiply
    311,868.98x = 430,354.44 × 175,859.45
  4. Step 4: Simplify right side
    311,868.98x = 75,681,897,500.86
  5. Step 5: Solve for x
    x = 75,681,897,500.86/311,868.98
  6. Step 6: Final answer
    x = 242,672.09

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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.