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Finding the Fourth Proportional to 462,861.78, 638,469.95 and 305,698.66

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Solution

The fourth proportional to 462,861.78, 638,469.95 and 305,698.66 is: 421,679.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,861.78 : 638,469.95 = 305,698.66 : x
  2. Step 2: Convert to fraction form
    462,861.78/638,469.95 = 305,698.66/x
  3. Step 3: Cross multiply
    462,861.78x = 638,469.95 × 305,698.66
  4. Step 4: Simplify right side
    462,861.78x = 195,179,411,235.80
  5. Step 5: Solve for x
    x = 195,179,411,235.80/462,861.78
  6. Step 6: Final answer
    x = 421,679.69

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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.