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Finding the Fourth Proportional to 288,335.60, 397,915.20 and 165,828.06

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Solution

The fourth proportional to 288,335.60, 397,915.20 and 165,828.06 is: 228,849.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,335.60 : 397,915.20 = 165,828.06 : x
  2. Step 2: Convert to fraction form
    288,335.60/397,915.20 = 165,828.06/x
  3. Step 3: Cross multiply
    288,335.60x = 397,915.20 × 165,828.06
  4. Step 4: Simplify right side
    288,335.60x = 65,985,505,660.51
  5. Step 5: Solve for x
    x = 65,985,505,660.51/288,335.60
  6. Step 6: Final answer
    x = 228,849.67

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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.