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Finding the Fourth Proportional to 318,749.82, 475,792.71 and 280,917

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Solution

The fourth proportional to 318,749.82, 475,792.71 and 280,917 is: 419,320.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,749.82 : 475,792.71 = 280,917 : x
  2. Step 2: Convert to fraction form
    318,749.82/475,792.71 = 280,917/x
  3. Step 3: Cross multiply
    318,749.82x = 475,792.71 × 280,917
  4. Step 4: Simplify right side
    318,749.82x = 133,658,260,715.07
  5. Step 5: Solve for x
    x = 133,658,260,715.07/318,749.82
  6. Step 6: Final answer
    x = 419,320.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.