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Finding the Fourth Proportional to 228,329.28, 342,409.68 and 78,527.88

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Solution

The fourth proportional to 228,329.28, 342,409.68 and 78,527.88 is: 117,762.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,329.28 : 342,409.68 = 78,527.88 : x
  2. Step 2: Convert to fraction form
    228,329.28/342,409.68 = 78,527.88/x
  3. Step 3: Cross multiply
    228,329.28x = 342,409.68 × 78,527.88
  4. Step 4: Simplify right side
    228,329.28x = 26,888,706,261.88
  5. Step 5: Solve for x
    x = 26,888,706,261.88/228,329.28
  6. Step 6: Final answer
    x = 117,762.85

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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.