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Finding the Fourth Proportional to 1,380,832.64, 1,905,533.70 and 768,972.06

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Solution

The fourth proportional to 1,380,832.64, 1,905,533.70 and 768,972.06 is: 1,061,172.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380,832.64 : 1,905,533.70 = 768,972.06 : x
  2. Step 2: Convert to fraction form
    1,380,832.64/1,905,533.70 = 768,972.06/x
  3. Step 3: Cross multiply
    1,380,832.64x = 1,905,533.70 × 768,972.06
  4. Step 4: Simplify right side
    1,380,832.64x = 1,465,302,174,688.42
  5. Step 5: Solve for x
    x = 1,465,302,174,688.42/1,380,832.64
  6. Step 6: Final answer
    x = 1,061,172.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.