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Finding the Fourth Proportional to 519,844.12, 780,174.44 and 267,114.40

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Solution

The fourth proportional to 519,844.12, 780,174.44 and 267,114.40 is: 400,881.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,844.12 : 780,174.44 = 267,114.40 : x
  2. Step 2: Convert to fraction form
    519,844.12/780,174.44 = 267,114.40/x
  3. Step 3: Cross multiply
    519,844.12x = 780,174.44 × 267,114.40
  4. Step 4: Simplify right side
    519,844.12x = 208,395,827,435.94
  5. Step 5: Solve for x
    x = 208,395,827,435.94/519,844.12
  6. Step 6: Final answer
    x = 400,881.38

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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.