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Finding the Fourth Proportional to 270,564.60, 405,846.90 and 214,577.40

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Solution

The fourth proportional to 270,564.60, 405,846.90 and 214,577.40 is: 321,866.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,564.60 : 405,846.90 = 214,577.40 : x
  2. Step 2: Convert to fraction form
    270,564.60/405,846.90 = 214,577.40/x
  3. Step 3: Cross multiply
    270,564.60x = 405,846.90 × 214,577.40
  4. Step 4: Simplify right side
    270,564.60x = 87,085,572,600.06
  5. Step 5: Solve for x
    x = 87,085,572,600.06/270,564.60
  6. Step 6: Final answer
    x = 321,866.10

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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.