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Finding the Fourth Proportional to 409,856.60, 614,128.80 and 269,451.20

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Solution

The fourth proportional to 409,856.60, 614,128.80 and 269,451.20 is: 403,745.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,856.60 : 614,128.80 = 269,451.20 : x
  2. Step 2: Convert to fraction form
    409,856.60/614,128.80 = 269,451.20/x
  3. Step 3: Cross multiply
    409,856.60x = 614,128.80 × 269,451.20
  4. Step 4: Simplify right side
    409,856.60x = 165,477,742,114.56
  5. Step 5: Solve for x
    x = 165,477,742,114.56/409,856.60
  6. Step 6: Final answer
    x = 403,745.46

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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.