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Finding the Fourth Proportional to 319,119.75, 478,761.64 and 119,443.01

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Solution

The fourth proportional to 319,119.75, 478,761.64 and 119,443.01 is: 179,195.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,119.75 : 478,761.64 = 119,443.01 : x
  2. Step 2: Convert to fraction form
    319,119.75/478,761.64 = 119,443.01/x
  3. Step 3: Cross multiply
    319,119.75x = 478,761.64 × 119,443.01
  4. Step 4: Simplify right side
    319,119.75x = 57,184,728,661.72
  5. Step 5: Solve for x
    x = 57,184,728,661.72/319,119.75
  6. Step 6: Final answer
    x = 179,195.20

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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.