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Finding the Fourth Proportional to 311,113.01, 429,313.69 and 175,139.93

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Solution

The fourth proportional to 311,113.01, 429,313.69 and 175,139.93 is: 241,680.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,113.01 : 429,313.69 = 175,139.93 : x
  2. Step 2: Convert to fraction form
    311,113.01/429,313.69 = 175,139.93/x
  3. Step 3: Cross multiply
    311,113.01x = 429,313.69 × 175,139.93
  4. Step 4: Simplify right side
    311,113.01x = 75,189,969,614.64
  5. Step 5: Solve for x
    x = 75,189,969,614.64/311,113.01
  6. Step 6: Final answer
    x = 241,680.57

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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.