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Finding the Fourth Proportional to 355,609.60, 534,028.80 and 189,721.60

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Solution

The fourth proportional to 355,609.60, 534,028.80 and 189,721.60 is: 284,910.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,609.60 : 534,028.80 = 189,721.60 : x
  2. Step 2: Convert to fraction form
    355,609.60/534,028.80 = 189,721.60/x
  3. Step 3: Cross multiply
    355,609.60x = 534,028.80 × 189,721.60
  4. Step 4: Simplify right side
    355,609.60x = 101,316,798,382.08
  5. Step 5: Solve for x
    x = 101,316,798,382.08/355,609.60
  6. Step 6: Final answer
    x = 284,910.19

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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.