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Finding the Fourth Proportional to 228,965.94, 343,004.22 and 128,820.78

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Solution

The fourth proportional to 228,965.94, 343,004.22 and 128,820.78 is: 192,980.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,965.94 : 343,004.22 = 128,820.78 : x
  2. Step 2: Convert to fraction form
    228,965.94/343,004.22 = 128,820.78/x
  3. Step 3: Cross multiply
    228,965.94x = 343,004.22 × 128,820.78
  4. Step 4: Simplify right side
    228,965.94x = 44,186,071,163.69
  5. Step 5: Solve for x
    x = 44,186,071,163.69/228,965.94
  6. Step 6: Final answer
    x = 192,980.98

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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.