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Finding the Fourth Proportional to 408,047.93, 610,917.03 and 311,874.94

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Solution

The fourth proportional to 408,047.93, 610,917.03 and 311,874.94 is: 466,929.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,047.93 : 610,917.03 = 311,874.94 : x
  2. Step 2: Convert to fraction form
    408,047.93/610,917.03 = 311,874.94/x
  3. Step 3: Cross multiply
    408,047.93x = 610,917.03 × 311,874.94
  4. Step 4: Simplify right side
    408,047.93x = 190,529,712,839.87
  5. Step 5: Solve for x
    x = 190,529,712,839.87/408,047.93
  6. Step 6: Final answer
    x = 466,929.74

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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.