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Finding the Fourth Proportional to 415,578.40, 623,367.60 and 363,090.40

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Solution

The fourth proportional to 415,578.40, 623,367.60 and 363,090.40 is: 544,635.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,578.40 : 623,367.60 = 363,090.40 : x
  2. Step 2: Convert to fraction form
    415,578.40/623,367.60 = 363,090.40/x
  3. Step 3: Cross multiply
    415,578.40x = 623,367.60 × 363,090.40
  4. Step 4: Simplify right side
    415,578.40x = 226,338,791,231.04
  5. Step 5: Solve for x
    x = 226,338,791,231.04/415,578.40
  6. Step 6: Final answer
    x = 544,635.60

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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.