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Finding the Fourth Proportional to 463,881.48, 640,017.11 and 300,278.85

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Solution

The fourth proportional to 463,881.48, 640,017.11 and 300,278.85 is: 414,294.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,881.48 : 640,017.11 = 300,278.85 : x
  2. Step 2: Convert to fraction form
    463,881.48/640,017.11 = 300,278.85/x
  3. Step 3: Cross multiply
    463,881.48x = 640,017.11 × 300,278.85
  4. Step 4: Simplify right side
    463,881.48x = 192,183,600,121.76
  5. Step 5: Solve for x
    x = 192,183,600,121.76/463,881.48
  6. Step 6: Final answer
    x = 414,294.62

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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.