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Finding the Fourth Proportional to 409,271.60, 613,757.72 and 156,427.06

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Solution

The fourth proportional to 409,271.60, 613,757.72 and 156,427.06 is: 234,583.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,271.60 : 613,757.72 = 156,427.06 : x
  2. Step 2: Convert to fraction form
    409,271.60/613,757.72 = 156,427.06/x
  3. Step 3: Cross multiply
    409,271.60x = 613,757.72 × 156,427.06
  4. Step 4: Simplify right side
    409,271.60x = 96,008,315,691.90
  5. Step 5: Solve for x
    x = 96,008,315,691.90/409,271.60
  6. Step 6: Final answer
    x = 234,583.38

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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.