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Finding the Fourth Proportional to 329,207.84, 493,033.28 and 280,630.83

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Solution

The fourth proportional to 329,207.84, 493,033.28 and 280,630.83 is: 420,282.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,207.84 : 493,033.28 = 280,630.83 : x
  2. Step 2: Convert to fraction form
    329,207.84/493,033.28 = 280,630.83/x
  3. Step 3: Cross multiply
    329,207.84x = 493,033.28 × 280,630.83
  4. Step 4: Simplify right side
    329,207.84x = 138,360,337,834.98
  5. Step 5: Solve for x
    x = 138,360,337,834.98/329,207.84
  6. Step 6: Final answer
    x = 420,282.63

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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.