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Finding the Fourth Proportional to 405,994.90, 608,948.60 and 106,505.50

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Solution

The fourth proportional to 405,994.90, 608,948.60 and 106,505.50 is: 159,746.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,994.90 : 608,948.60 = 106,505.50 : x
  2. Step 2: Convert to fraction form
    405,994.90/608,948.60 = 106,505.50/x
  3. Step 3: Cross multiply
    405,994.90x = 608,948.60 × 106,505.50
  4. Step 4: Simplify right side
    405,994.90x = 64,856,375,117.30
  5. Step 5: Solve for x
    x = 64,856,375,117.30/405,994.90
  6. Step 6: Final answer
    x = 159,746.77

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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.