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Finding the Fourth Proportional to 409,494.40, 614,241.60 and 378,001.60

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Solution

The fourth proportional to 409,494.40, 614,241.60 and 378,001.60 is: 567,002.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,494.40 : 614,241.60 = 378,001.60 : x
  2. Step 2: Convert to fraction form
    409,494.40/614,241.60 = 378,001.60/x
  3. Step 3: Cross multiply
    409,494.40x = 614,241.60 × 378,001.60
  4. Step 4: Simplify right side
    409,494.40x = 232,184,307,586.56
  5. Step 5: Solve for x
    x = 232,184,307,586.56/409,494.40
  6. Step 6: Final answer
    x = 567,002.40

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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.