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Finding the Fourth Proportional to 415,266.60, 623,591.10 and 228,412.20

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Solution

The fourth proportional to 415,266.60, 623,591.10 and 228,412.20 is: 342,998.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,266.60 : 623,591.10 = 228,412.20 : x
  2. Step 2: Convert to fraction form
    415,266.60/623,591.10 = 228,412.20/x
  3. Step 3: Cross multiply
    415,266.60x = 623,591.10 × 228,412.20
  4. Step 4: Simplify right side
    415,266.60x = 142,435,815,051.42
  5. Step 5: Solve for x
    x = 142,435,815,051.42/415,266.60
  6. Step 6: Final answer
    x = 342,998.49

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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.