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Finding the Fourth Proportional to 713,961, 1,071,268.20 and 309,276.90

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Solution

The fourth proportional to 713,961, 1,071,268.20 and 309,276.90 is: 464,056.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,961 : 1,071,268.20 = 309,276.90 : x
  2. Step 2: Convert to fraction form
    713,961/1,071,268.20 = 309,276.90/x
  3. Step 3: Cross multiply
    713,961x = 1,071,268.20 × 309,276.90
  4. Step 4: Simplify right side
    713,961x = 331,318,507,964.58
  5. Step 5: Solve for x
    x = 331,318,507,964.58/713,961
  6. Step 6: Final answer
    x = 464,056.87

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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.