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Finding the Fourth Proportional to 287,615.16, 396,910.92 and 160,298.96

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Solution

The fourth proportional to 287,615.16, 396,910.92 and 160,298.96 is: 221,213.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,615.16 : 396,910.92 = 160,298.96 : x
  2. Step 2: Convert to fraction form
    287,615.16/396,910.92 = 160,298.96/x
  3. Step 3: Cross multiply
    287,615.16x = 396,910.92 × 160,298.96
  4. Step 4: Simplify right side
    287,615.16x = 63,624,405,704.09
  5. Step 5: Solve for x
    x = 63,624,405,704.09/287,615.16
  6. Step 6: Final answer
    x = 221,213.67

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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.