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Finding the Fourth Proportional to 415,038.20, 622,634.10 and 134,564.60

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Solution

The fourth proportional to 415,038.20, 622,634.10 and 134,564.60 is: 201,871.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,038.20 : 622,634.10 = 134,564.60 : x
  2. Step 2: Convert to fraction form
    415,038.20/622,634.10 = 134,564.60/x
  3. Step 3: Cross multiply
    415,038.20x = 622,634.10 × 134,564.60
  4. Step 4: Simplify right side
    415,038.20x = 83,784,508,612.86
  5. Step 5: Solve for x
    x = 83,784,508,612.86/415,038.20
  6. Step 6: Final answer
    x = 201,871.80

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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.