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Finding the Fourth Proportional to 319,094.28, 478,698.34 and 105,874.98

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Solution

The fourth proportional to 319,094.28, 478,698.34 and 105,874.98 is: 158,831.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,094.28 : 478,698.34 = 105,874.98 : x
  2. Step 2: Convert to fraction form
    319,094.28/478,698.34 = 105,874.98/x
  3. Step 3: Cross multiply
    319,094.28x = 478,698.34 × 105,874.98
  4. Step 4: Simplify right side
    319,094.28x = 50,682,177,173.53
  5. Step 5: Solve for x
    x = 50,682,177,173.53/319,094.28
  6. Step 6: Final answer
    x = 158,831.36

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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.