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Finding the Fourth Proportional to 415,419.60, 623,129.40 and 134,965.20

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Solution

The fourth proportional to 415,419.60, 623,129.40 and 134,965.20 is: 202,447.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,419.60 : 623,129.40 = 134,965.20 : x
  2. Step 2: Convert to fraction form
    415,419.60/623,129.40 = 134,965.20/x
  3. Step 3: Cross multiply
    415,419.60x = 623,129.40 × 134,965.20
  4. Step 4: Simplify right side
    415,419.60x = 84,100,784,096.88
  5. Step 5: Solve for x
    x = 84,100,784,096.88/415,419.60
  6. Step 6: Final answer
    x = 202,447.80

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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.