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Finding the Fourth Proportional to 309,551.54, 427,271.83 and 202,138.25

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Solution

The fourth proportional to 309,551.54, 427,271.83 and 202,138.25 is: 279,010.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,551.54 : 427,271.83 = 202,138.25 : x
  2. Step 2: Convert to fraction form
    309,551.54/427,271.83 = 202,138.25/x
  3. Step 3: Cross multiply
    309,551.54x = 427,271.83 × 202,138.25
  4. Step 4: Simplify right side
    309,551.54x = 86,367,977,348.79
  5. Step 5: Solve for x
    x = 86,367,977,348.79/309,551.54
  6. Step 6: Final answer
    x = 279,010.01

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Why These Related Problems?

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