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Finding the Fourth Proportional to 277,802.22, 383,344.32 and 156,954

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Solution

The fourth proportional to 277,802.22, 383,344.32 and 156,954 is: 216,583.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,802.22 : 383,344.32 = 156,954 : x
  2. Step 2: Convert to fraction form
    277,802.22/383,344.32 = 156,954/x
  3. Step 3: Cross multiply
    277,802.22x = 383,344.32 × 156,954
  4. Step 4: Simplify right side
    277,802.22x = 60,167,424,401.28
  5. Step 5: Solve for x
    x = 60,167,424,401.28/277,802.22
  6. Step 6: Final answer
    x = 216,583.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.