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Finding the Fourth Proportional to 405,993.40, 608,946.35 and 106,504

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Solution

The fourth proportional to 405,993.40, 608,946.35 and 106,504 is: 159,744.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,993.40 : 608,946.35 = 106,504 : x
  2. Step 2: Convert to fraction form
    405,993.40/608,946.35 = 106,504/x
  3. Step 3: Cross multiply
    405,993.40x = 608,946.35 × 106,504
  4. Step 4: Simplify right side
    405,993.40x = 64,855,222,060.40
  5. Step 5: Solve for x
    x = 64,855,222,060.40/405,993.40
  6. Step 6: Final answer
    x = 159,744.52

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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.