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Finding the Fourth Proportional to 313,838.50, 470,492.40 and 136,211.98

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Solution

The fourth proportional to 313,838.50, 470,492.40 and 136,211.98 is: 204,202.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,838.50 : 470,492.40 = 136,211.98 : x
  2. Step 2: Convert to fraction form
    313,838.50/470,492.40 = 136,211.98/x
  3. Step 3: Cross multiply
    313,838.50x = 470,492.40 × 136,211.98
  4. Step 4: Simplify right side
    313,838.50x = 64,086,701,378.95
  5. Step 5: Solve for x
    x = 64,086,701,378.95/313,838.50
  6. Step 6: Final answer
    x = 204,202.80

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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.