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Finding the Fourth Proportional to 647,658.20, 970,175.10 and 366,847.40

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Solution

The fourth proportional to 647,658.20, 970,175.10 and 366,847.40 is: 549,527.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,658.20 : 970,175.10 = 366,847.40 : x
  2. Step 2: Convert to fraction form
    647,658.20/970,175.10 = 366,847.40/x
  3. Step 3: Cross multiply
    647,658.20x = 970,175.10 × 366,847.40
  4. Step 4: Simplify right side
    647,658.20x = 355,906,212,979.74
  5. Step 5: Solve for x
    x = 355,906,212,979.74/647,658.20
  6. Step 6: Final answer
    x = 549,527.84

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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.