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Finding the Fourth Proportional to 418,749.96, 628,025.58 and 148,855.80

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Solution

The fourth proportional to 418,749.96, 628,025.58 and 148,855.80 is: 223,248.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,749.96 : 628,025.58 = 148,855.80 : x
  2. Step 2: Convert to fraction form
    418,749.96/628,025.58 = 148,855.80/x
  3. Step 3: Cross multiply
    418,749.96x = 628,025.58 × 148,855.80
  4. Step 4: Simplify right side
    418,749.96x = 93,485,250,131.36
  5. Step 5: Solve for x
    x = 93,485,250,131.36/418,749.96
  6. Step 6: Final answer
    x = 223,248.38

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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.