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Finding the Fourth Proportional to 538,623.37, 807,686.74 and 159,408.51

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Solution

The fourth proportional to 538,623.37, 807,686.74 and 159,408.51 is: 239,039.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,623.37 : 807,686.74 = 159,408.51 : x
  2. Step 2: Convert to fraction form
    538,623.37/807,686.74 = 159,408.51/x
  3. Step 3: Cross multiply
    538,623.37x = 807,686.74 × 159,408.51
  4. Step 4: Simplify right side
    538,623.37x = 128,752,136,940.59
  5. Step 5: Solve for x
    x = 128,752,136,940.59/538,623.37
  6. Step 6: Final answer
    x = 239,039.27

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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.