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Finding the Fourth Proportional to 405,591.48, 608,340.74 and 106,100.96

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Solution

The fourth proportional to 405,591.48, 608,340.74 and 106,100.96 is: 159,139.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,591.48 : 608,340.74 = 106,100.96 : x
  2. Step 2: Convert to fraction form
    405,591.48/608,340.74 = 106,100.96/x
  3. Step 3: Cross multiply
    405,591.48x = 608,340.74 × 106,100.96
  4. Step 4: Simplify right side
    405,591.48x = 64,545,538,041.96
  5. Step 5: Solve for x
    x = 64,545,538,041.96/405,591.48
  6. Step 6: Final answer
    x = 159,139.29

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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.