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Finding the Fourth Proportional to 512,572.11, 707,229.81 and 297,582.72

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Solution

The fourth proportional to 512,572.11, 707,229.81 and 297,582.72 is: 410,594.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,572.11 : 707,229.81 = 297,582.72 : x
  2. Step 2: Convert to fraction form
    512,572.11/707,229.81 = 297,582.72/x
  3. Step 3: Cross multiply
    512,572.11x = 707,229.81 × 297,582.72
  4. Step 4: Simplify right side
    512,572.11x = 210,459,370,524.88
  5. Step 5: Solve for x
    x = 210,459,370,524.88/512,572.11
  6. Step 6: Final answer
    x = 410,594.66

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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.