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Finding the Fourth Proportional to 288,365, 397,914.54 and 165,854.12

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Solution

The fourth proportional to 288,365, 397,914.54 and 165,854.12 is: 228,861.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,365 : 397,914.54 = 165,854.12 : x
  2. Step 2: Convert to fraction form
    288,365/397,914.54 = 165,854.12/x
  3. Step 3: Cross multiply
    288,365x = 397,914.54 × 165,854.12
  4. Step 4: Simplify right side
    288,365x = 65,995,765,866.90
  5. Step 5: Solve for x
    x = 65,995,765,866.90/288,365
  6. Step 6: Final answer
    x = 228,861.91

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1.5x scale

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.