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Finding the Fourth Proportional to 262,378.72, 393,859.44 and 135,985.12

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Solution

The fourth proportional to 262,378.72, 393,859.44 and 135,985.12 is: 204,128.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,378.72 : 393,859.44 = 135,985.12 : x
  2. Step 2: Convert to fraction form
    262,378.72/393,859.44 = 135,985.12/x
  3. Step 3: Cross multiply
    262,378.72x = 393,859.44 × 135,985.12
  4. Step 4: Simplify right side
    262,378.72x = 53,559,023,211.53
  5. Step 5: Solve for x
    x = 53,559,023,211.53/262,378.72
  6. Step 6: Final answer
    x = 204,128.69

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1.5x scale

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.