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Finding the Fourth Proportional to 319,006.76, 478,578.18 and 159,168.64

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Solution

The fourth proportional to 319,006.76, 478,578.18 and 159,168.64 is: 238,786.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,006.76 : 478,578.18 = 159,168.64 : x
  2. Step 2: Convert to fraction form
    319,006.76/478,578.18 = 159,168.64/x
  3. Step 3: Cross multiply
    319,006.76x = 478,578.18 × 159,168.64
  4. Step 4: Simplify right side
    319,006.76x = 76,174,638,044.28
  5. Step 5: Solve for x
    x = 76,174,638,044.28/319,006.76
  6. Step 6: Final answer
    x = 238,786.91

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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.