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Finding the Fourth Proportional to 309,315.89, 427,065.14 and 193,206.85

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Solution

The fourth proportional to 309,315.89, 427,065.14 and 193,206.85 is: 266,756.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,315.89 : 427,065.14 = 193,206.85 : x
  2. Step 2: Convert to fraction form
    309,315.89/427,065.14 = 193,206.85/x
  3. Step 3: Cross multiply
    309,315.89x = 427,065.14 × 193,206.85
  4. Step 4: Simplify right side
    309,315.89x = 82,511,910,444.21
  5. Step 5: Solve for x
    x = 82,511,910,444.21/309,315.89
  6. Step 6: Final answer
    x = 266,756.13

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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.