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Finding the Fourth Proportional to 415,459.38, 623,469.12 and 145,589.94

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Solution

The fourth proportional to 415,459.38, 623,469.12 and 145,589.94 is: 218,483.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,459.38 : 623,469.12 = 145,589.94 : x
  2. Step 2: Convert to fraction form
    415,459.38/623,469.12 = 145,589.94/x
  3. Step 3: Cross multiply
    415,459.38x = 623,469.12 × 145,589.94
  4. Step 4: Simplify right side
    415,459.38x = 90,770,831,772.65
  5. Step 5: Solve for x
    x = 90,770,831,772.65/415,459.38
  6. Step 6: Final answer
    x = 218,483.05

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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.