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Finding the Fourth Proportional to 415,109.40, 622,809.90 and 148,878.60

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Solution

The fourth proportional to 415,109.40, 622,809.90 and 148,878.60 is: 223,370.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,109.40 : 622,809.90 = 148,878.60 : x
  2. Step 2: Convert to fraction form
    415,109.40/622,809.90 = 148,878.60/x
  3. Step 3: Cross multiply
    415,109.40x = 622,809.90 × 148,878.60
  4. Step 4: Simplify right side
    415,109.40x = 92,723,065,978.14
  5. Step 5: Solve for x
    x = 92,723,065,978.14/415,109.40
  6. Step 6: Final answer
    x = 223,370.19

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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.