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Finding the Fourth Proportional to 409,722.96, 614,647.76 and 139,787.90

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Solution

The fourth proportional to 409,722.96, 614,647.76 and 139,787.90 is: 209,703.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,722.96 : 614,647.76 = 139,787.90 : x
  2. Step 2: Convert to fraction form
    409,722.96/614,647.76 = 139,787.90/x
  3. Step 3: Cross multiply
    409,722.96x = 614,647.76 × 139,787.90
  4. Step 4: Simplify right side
    409,722.96x = 85,920,315,837.93
  5. Step 5: Solve for x
    x = 85,920,315,837.93/409,722.96
  6. Step 6: Final answer
    x = 209,703.44

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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.