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Finding the Fourth Proportional to 405,788.78, 608,738.52 and 169,076

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Solution

The fourth proportional to 405,788.78, 608,738.52 and 169,076 is: 253,637.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,788.78 : 608,738.52 = 169,076 : x
  2. Step 2: Convert to fraction form
    405,788.78/608,738.52 = 169,076/x
  3. Step 3: Cross multiply
    405,788.78x = 608,738.52 × 169,076
  4. Step 4: Simplify right side
    405,788.78x = 102,923,074,007.52
  5. Step 5: Solve for x
    x = 102,923,074,007.52/405,788.78
  6. Step 6: Final answer
    x = 253,637.06

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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.