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Finding the Fourth Proportional to 270,292.90, 405,094.29 and 128,137.90

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Solution

The fourth proportional to 270,292.90, 405,094.29 and 128,137.90 is: 192,043.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,292.90 : 405,094.29 = 128,137.90 : x
  2. Step 2: Convert to fraction form
    270,292.90/405,094.29 = 128,137.90/x
  3. Step 3: Cross multiply
    270,292.90x = 405,094.29 × 128,137.90
  4. Step 4: Simplify right side
    270,292.90x = 51,907,931,622.59
  5. Step 5: Solve for x
    x = 51,907,931,622.59/270,292.90
  6. Step 6: Final answer
    x = 192,043.27

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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.