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Finding the Fourth Proportional to 408,840.40, 613,916.70 and 309,113.20

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Solution

The fourth proportional to 408,840.40, 613,916.70 and 309,113.20 is: 464,165.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,840.40 : 613,916.70 = 309,113.20 : x
  2. Step 2: Convert to fraction form
    408,840.40/613,916.70 = 309,113.20/x
  3. Step 3: Cross multiply
    408,840.40x = 613,916.70 × 309,113.20
  4. Step 4: Simplify right side
    408,840.40x = 189,769,755,670.44
  5. Step 5: Solve for x
    x = 189,769,755,670.44/408,840.40
  6. Step 6: Final answer
    x = 464,165.86

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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.