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Finding the Fourth Proportional to 380,408.60, 570,201.01 and 247,384.33

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Solution

The fourth proportional to 380,408.60, 570,201.01 and 247,384.33 is: 370,808.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,408.60 : 570,201.01 = 247,384.33 : x
  2. Step 2: Convert to fraction form
    380,408.60/570,201.01 = 247,384.33/x
  3. Step 3: Cross multiply
    380,408.60x = 570,201.01 × 247,384.33
  4. Step 4: Simplify right side
    380,408.60x = 141,058,794,824.17
  5. Step 5: Solve for x
    x = 141,058,794,824.17/380,408.60
  6. Step 6: Final answer
    x = 370,808.64

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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.