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Finding the Fourth Proportional to 228,277.72, 342,328.38 and 78,489.64

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Solution

The fourth proportional to 228,277.72, 342,328.38 and 78,489.64 is: 117,704.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,277.72 : 342,328.38 = 78,489.64 : x
  2. Step 2: Convert to fraction form
    228,277.72/342,328.38 = 78,489.64/x
  3. Step 3: Cross multiply
    228,277.72x = 342,328.38 × 78,489.64
  4. Step 4: Simplify right side
    228,277.72x = 26,869,231,307.98
  5. Step 5: Solve for x
    x = 26,869,231,307.98/228,277.72
  6. Step 6: Final answer
    x = 117,704.13

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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.