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Finding the Fourth Proportional to 1,109,994.24, 1,664,922.24 and 683,611.20

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Solution

The fourth proportional to 1,109,994.24, 1,664,922.24 and 683,611.20 is: 1,025,374.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109,994.24 : 1,664,922.24 = 683,611.20 : x
  2. Step 2: Convert to fraction form
    1,109,994.24/1,664,922.24 = 683,611.20/x
  3. Step 3: Cross multiply
    1,109,994.24x = 1,664,922.24 × 683,611.20
  4. Step 4: Simplify right side
    1,109,994.24x = 1,138,159,490,393.09
  5. Step 5: Solve for x
    x = 1,138,159,490,393.09/1,109,994.24
  6. Step 6: Final answer
    x = 1,025,374.23

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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.