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Finding the Fourth Proportional to 319,046.22, 478,578.62 and 119,328.51

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Solution

The fourth proportional to 319,046.22, 478,578.62 and 119,328.51 is: 178,996.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,046.22 : 478,578.62 = 119,328.51 : x
  2. Step 2: Convert to fraction form
    319,046.22/478,578.62 = 119,328.51/x
  3. Step 3: Cross multiply
    319,046.22x = 478,578.62 × 119,328.51
  4. Step 4: Simplify right side
    319,046.22x = 57,108,070,652.92
  5. Step 5: Solve for x
    x = 57,108,070,652.92/319,046.22
  6. Step 6: Final answer
    x = 178,996.23

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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.