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Finding the Fourth Proportional to 305,861.40, 458,792.10 and 199,573.20

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Solution

The fourth proportional to 305,861.40, 458,792.10 and 199,573.20 is: 299,359.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,861.40 : 458,792.10 = 199,573.20 : x
  2. Step 2: Convert to fraction form
    305,861.40/458,792.10 = 199,573.20/x
  3. Step 3: Cross multiply
    305,861.40x = 458,792.10 × 199,573.20
  4. Step 4: Simplify right side
    305,861.40x = 91,562,607,531.72
  5. Step 5: Solve for x
    x = 91,562,607,531.72/305,861.40
  6. Step 6: Final answer
    x = 299,359.80

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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.