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Finding the Fourth Proportional to 280,377.29, 420,462.04 and 100,434.67

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Solution

The fourth proportional to 280,377.29, 420,462.04 and 100,434.67 is: 150,614.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,377.29 : 420,462.04 = 100,434.67 : x
  2. Step 2: Convert to fraction form
    280,377.29/420,462.04 = 100,434.67/x
  3. Step 3: Cross multiply
    280,377.29x = 420,462.04 × 100,434.67
  4. Step 4: Simplify right side
    280,377.29x = 42,228,966,234.93
  5. Step 5: Solve for x
    x = 42,228,966,234.93/280,377.29
  6. Step 6: Final answer
    x = 150,614.79

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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.