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Finding the Fourth Proportional to 311,433.78, 429,762.72 and 175,475.76

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Solution

The fourth proportional to 311,433.78, 429,762.72 and 175,475.76 is: 242,147.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,433.78 : 429,762.72 = 175,475.76 : x
  2. Step 2: Convert to fraction form
    311,433.78/429,762.72 = 175,475.76/x
  3. Step 3: Cross multiply
    311,433.78x = 429,762.72 × 175,475.76
  4. Step 4: Simplify right side
    311,433.78x = 75,412,939,911.67
  5. Step 5: Solve for x
    x = 75,412,939,911.67/311,433.78
  6. Step 6: Final answer
    x = 242,147.59

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1.5x scale

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.