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Finding the Fourth Proportional to 319,305.70, 478,440.15 and 200,764.90

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Solution

The fourth proportional to 319,305.70, 478,440.15 and 200,764.90 is: 300,821.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,305.70 : 478,440.15 = 200,764.90 : x
  2. Step 2: Convert to fraction form
    319,305.70/478,440.15 = 200,764.90/x
  3. Step 3: Cross multiply
    319,305.70x = 478,440.15 × 200,764.90
  4. Step 4: Simplify right side
    319,305.70x = 96,053,988,870.74
  5. Step 5: Solve for x
    x = 96,053,988,870.74/319,305.70
  6. Step 6: Final answer
    x = 300,821.40

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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.