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Finding the Fourth Proportional to 311,159.53, 429,364.65 and 175,189.98

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Solution

The fourth proportional to 311,159.53, 429,364.65 and 175,189.98 is: 241,742.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,159.53 : 429,364.65 = 175,189.98 : x
  2. Step 2: Convert to fraction form
    311,159.53/429,364.65 = 175,189.98/x
  3. Step 3: Cross multiply
    311,159.53x = 429,364.65 × 175,189.98
  4. Step 4: Simplify right side
    311,159.53x = 75,220,383,817.50
  5. Step 5: Solve for x
    x = 75,220,383,817.50/311,159.53
  6. Step 6: Final answer
    x = 241,742.19

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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.