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Finding the Fourth Proportional to 613,352.90, 920,217.61 and 314,043.62

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Solution

The fourth proportional to 613,352.90, 920,217.61 and 314,043.62 is: 471,161.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,352.90 : 920,217.61 = 314,043.62 : x
  2. Step 2: Convert to fraction form
    613,352.90/920,217.61 = 314,043.62/x
  3. Step 3: Cross multiply
    613,352.90x = 920,217.61 × 314,043.62
  4. Step 4: Simplify right side
    613,352.90x = 288,988,469,432.15
  5. Step 5: Solve for x
    x = 288,988,469,432.15/613,352.90
  6. Step 6: Final answer
    x = 471,161.82

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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.