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Finding the Fourth Proportional to 260,134.40, 390,201.60 and 201,085.40

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Solution

The fourth proportional to 260,134.40, 390,201.60 and 201,085.40 is: 301,628.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,134.40 : 390,201.60 = 201,085.40 : x
  2. Step 2: Convert to fraction form
    260,134.40/390,201.60 = 201,085.40/x
  3. Step 3: Cross multiply
    260,134.40x = 390,201.60 × 201,085.40
  4. Step 4: Simplify right side
    260,134.40x = 78,463,844,816.64
  5. Step 5: Solve for x
    x = 78,463,844,816.64/260,134.40
  6. Step 6: Final answer
    x = 301,628.10

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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.