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Finding the Fourth Proportional to 286,049.85, 429,145.51 and 201,974.74

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Solution

The fourth proportional to 286,049.85, 429,145.51 and 201,974.74 is: 303,012.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,049.85 : 429,145.51 = 201,974.74 : x
  2. Step 2: Convert to fraction form
    286,049.85/429,145.51 = 201,974.74/x
  3. Step 3: Cross multiply
    286,049.85x = 429,145.51 × 201,974.74
  4. Step 4: Simplify right side
    286,049.85x = 86,676,550,658.69
  5. Step 5: Solve for x
    x = 86,676,550,658.69/286,049.85
  6. Step 6: Final answer
    x = 303,012.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.