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Finding the Fourth Proportional to 305,905.60, 458,858.40 and 95,564.80

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Solution

The fourth proportional to 305,905.60, 458,858.40 and 95,564.80 is: 143,347.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,905.60 : 458,858.40 = 95,564.80 : x
  2. Step 2: Convert to fraction form
    305,905.60/458,858.40 = 95,564.80/x
  3. Step 3: Cross multiply
    305,905.60x = 458,858.40 × 95,564.80
  4. Step 4: Simplify right side
    305,905.60x = 43,850,711,224.32
  5. Step 5: Solve for x
    x = 43,850,711,224.32/305,905.60
  6. Step 6: Final answer
    x = 143,347.20

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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.