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Finding the Fourth Proportional to 228,208.26, 342,368.48 and 78,450.60

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Solution

The fourth proportional to 228,208.26, 342,368.48 and 78,450.60 is: 117,695.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,208.26 : 342,368.48 = 78,450.60 : x
  2. Step 2: Convert to fraction form
    228,208.26/342,368.48 = 78,450.60/x
  3. Step 3: Cross multiply
    228,208.26x = 342,368.48 × 78,450.60
  4. Step 4: Simplify right side
    228,208.26x = 26,859,012,677.09
  5. Step 5: Solve for x
    x = 26,859,012,677.09/228,208.26
  6. Step 6: Final answer
    x = 117,695.18

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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.