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Finding the Fourth Proportional to 319,601.06, 478,811.10 and 161,451.80

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Solution

The fourth proportional to 319,601.06, 478,811.10 and 161,451.80 is: 241,879.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,601.06 : 478,811.10 = 161,451.80 : x
  2. Step 2: Convert to fraction form
    319,601.06/478,811.10 = 161,451.80/x
  3. Step 3: Cross multiply
    319,601.06x = 478,811.10 × 161,451.80
  4. Step 4: Simplify right side
    319,601.06x = 77,304,913,954.98
  5. Step 5: Solve for x
    x = 77,304,913,954.98/319,601.06
  6. Step 6: Final answer
    x = 241,879.40

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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.