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Finding the Fourth Proportional to 289,492.48, 434,906.16 and 277,535.20

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Solution

The fourth proportional to 289,492.48, 434,906.16 and 277,535.20 is: 416,942.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,492.48 : 434,906.16 = 277,535.20 : x
  2. Step 2: Convert to fraction form
    289,492.48/434,906.16 = 277,535.20/x
  3. Step 3: Cross multiply
    289,492.48x = 434,906.16 × 277,535.20
  4. Step 4: Simplify right side
    289,492.48x = 120,701,768,096.83
  5. Step 5: Solve for x
    x = 120,701,768,096.83/289,492.48
  6. Step 6: Final answer
    x = 416,942.67

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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.