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Finding the Fourth Proportional to 292,800, 404,064 and 158,664

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Solution

The fourth proportional to 292,800, 404,064 and 158,664 is: 218,956.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,800 : 404,064 = 158,664 : x
  2. Step 2: Convert to fraction form
    292,800/404,064 = 158,664/x
  3. Step 3: Cross multiply
    292,800x = 404,064 × 158,664
  4. Step 4: Simplify right side
    292,800x = 64,110,410,496
  5. Step 5: Solve for x
    x = 64,110,410,496/292,800
  6. Step 6: Final answer
    x = 218,956.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.