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Finding the Fourth Proportional to 280,767.76, 421,031.76 and 162,520.72

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Solution

The fourth proportional to 280,767.76, 421,031.76 and 162,520.72 is: 243,711.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,767.76 : 421,031.76 = 162,520.72 : x
  2. Step 2: Convert to fraction form
    280,767.76/421,031.76 = 162,520.72/x
  3. Step 3: Cross multiply
    280,767.76x = 421,031.76 × 162,520.72
  4. Step 4: Simplify right side
    280,767.76x = 68,426,384,778.07
  5. Step 5: Solve for x
    x = 68,426,384,778.07/280,767.76
  6. Step 6: Final answer
    x = 243,711.69

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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.