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Finding the Fourth Proportional to 439,360.84, 659,172.54 and 311,523.40

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Solution

The fourth proportional to 439,360.84, 659,172.54 and 311,523.40 is: 467,378.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,360.84 : 659,172.54 = 311,523.40 : x
  2. Step 2: Convert to fraction form
    439,360.84/659,172.54 = 311,523.40/x
  3. Step 3: Cross multiply
    439,360.84x = 659,172.54 × 311,523.40
  4. Step 4: Simplify right side
    439,360.84x = 205,347,670,847.44
  5. Step 5: Solve for x
    x = 205,347,670,847.44/439,360.84
  6. Step 6: Final answer
    x = 467,378.18

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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.