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Finding the Fourth Proportional to 408,923.40, 612,072.90 and 319,693.80

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Solution

The fourth proportional to 408,923.40, 612,072.90 and 319,693.80 is: 478,514.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,923.40 : 612,072.90 = 319,693.80 : x
  2. Step 2: Convert to fraction form
    408,923.40/612,072.90 = 319,693.80/x
  3. Step 3: Cross multiply
    408,923.40x = 612,072.90 × 319,693.80
  4. Step 4: Simplify right side
    408,923.40x = 195,675,911,278.02
  5. Step 5: Solve for x
    x = 195,675,911,278.02/408,923.40
  6. Step 6: Final answer
    x = 478,514.83

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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.