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Finding the Fourth Proportional to 405,994.40, 608,947.85 and 106,505

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Solution

The fourth proportional to 405,994.40, 608,947.85 and 106,505 is: 159,746.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,994.40 : 608,947.85 = 106,505 : x
  2. Step 2: Convert to fraction form
    405,994.40/608,947.85 = 106,505/x
  3. Step 3: Cross multiply
    405,994.40x = 608,947.85 × 106,505
  4. Step 4: Simplify right side
    405,994.40x = 64,855,990,764.25
  5. Step 5: Solve for x
    x = 64,855,990,764.25/405,994.40
  6. Step 6: Final answer
    x = 159,746.02

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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.