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Finding the Fourth Proportional to 228,214.80, 342,330.01 and 78,453.81

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Solution

The fourth proportional to 228,214.80, 342,330.01 and 78,453.81 is: 117,683.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,214.80 : 342,330.01 = 78,453.81 : x
  2. Step 2: Convert to fraction form
    228,214.80/342,330.01 = 78,453.81/x
  3. Step 3: Cross multiply
    228,214.80x = 342,330.01 × 78,453.81
  4. Step 4: Simplify right side
    228,214.80x = 26,857,093,561.84
  5. Step 5: Solve for x
    x = 26,857,093,561.84/228,214.80
  6. Step 6: Final answer
    x = 117,683.40

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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.