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Finding the Fourth Proportional to 640,508.74, 960,780 and 280,494.38

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Solution

The fourth proportional to 640,508.74, 960,780 and 280,494.38 is: 420,748.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,508.74 : 960,780 = 280,494.38 : x
  2. Step 2: Convert to fraction form
    640,508.74/960,780 = 280,494.38/x
  3. Step 3: Cross multiply
    640,508.74x = 960,780 × 280,494.38
  4. Step 4: Simplify right side
    640,508.74x = 269,493,390,416.40
  5. Step 5: Solve for x
    x = 269,493,390,416.40/640,508.74
  6. Step 6: Final answer
    x = 420,748.97

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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.