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Finding the Fourth Proportional to 408,947.40, 612,108.90 and 319,717.80

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Solution

The fourth proportional to 408,947.40, 612,108.90 and 319,717.80 is: 478,550.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,947.40 : 612,108.90 = 319,717.80 : x
  2. Step 2: Convert to fraction form
    408,947.40/612,108.90 = 319,717.80/x
  3. Step 3: Cross multiply
    408,947.40x = 612,108.90 × 319,717.80
  4. Step 4: Simplify right side
    408,947.40x = 195,702,110,868.42
  5. Step 5: Solve for x
    x = 195,702,110,868.42/408,947.40
  6. Step 6: Final answer
    x = 478,550.81

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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.