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Finding the Fourth Proportional to 305,469.84, 458,266.20 and 105,785.80

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Solution

The fourth proportional to 305,469.84, 458,266.20 and 105,785.80 is: 158,699.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,469.84 : 458,266.20 = 105,785.80 : x
  2. Step 2: Convert to fraction form
    305,469.84/458,266.20 = 105,785.80/x
  3. Step 3: Cross multiply
    305,469.84x = 458,266.20 × 105,785.80
  4. Step 4: Simplify right side
    305,469.84x = 48,478,056,579.96
  5. Step 5: Solve for x
    x = 48,478,056,579.96/305,469.84
  6. Step 6: Final answer
    x = 158,699.98

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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.