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Finding the Fourth Proportional to 415,494.40, 623,241.60 and 257,900.80

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Solution

The fourth proportional to 415,494.40, 623,241.60 and 257,900.80 is: 386,851.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,494.40 : 623,241.60 = 257,900.80 : x
  2. Step 2: Convert to fraction form
    415,494.40/623,241.60 = 257,900.80/x
  3. Step 3: Cross multiply
    415,494.40x = 623,241.60 × 257,900.80
  4. Step 4: Simplify right side
    415,494.40x = 160,734,507,233.28
  5. Step 5: Solve for x
    x = 160,734,507,233.28/415,494.40
  6. Step 6: Final answer
    x = 386,851.20

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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.