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Finding the Fourth Proportional to 720,103.84, 993,771.72 and 414,179.73

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Solution

The fourth proportional to 720,103.84, 993,771.72 and 414,179.73 is: 571,584.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,103.84 : 993,771.72 = 414,179.73 : x
  2. Step 2: Convert to fraction form
    720,103.84/993,771.72 = 414,179.73/x
  3. Step 3: Cross multiply
    720,103.84x = 993,771.72 × 414,179.73
  4. Step 4: Simplify right side
    720,103.84x = 411,600,102,671.24
  5. Step 5: Solve for x
    x = 411,600,102,671.24/720,103.84
  6. Step 6: Final answer
    x = 571,584.38

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Double scale
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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.