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Finding the Fourth Proportional to 506,910.43, 699,508.60 and 289,087.12

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Solution

The fourth proportional to 506,910.43, 699,508.60 and 289,087.12 is: 398,924.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,910.43 : 699,508.60 = 289,087.12 : x
  2. Step 2: Convert to fraction form
    506,910.43/699,508.60 = 289,087.12/x
  3. Step 3: Cross multiply
    506,910.43x = 699,508.60 × 289,087.12
  4. Step 4: Simplify right side
    506,910.43x = 202,218,926,589.23
  5. Step 5: Solve for x
    x = 202,218,926,589.23/506,910.43
  6. Step 6: Final answer
    x = 398,924.38

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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.