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Finding the Fourth Proportional to 280,898.70, 421,348.05 and 112,499.70

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Solution

The fourth proportional to 280,898.70, 421,348.05 and 112,499.70 is: 168,749.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,898.70 : 421,348.05 = 112,499.70 : x
  2. Step 2: Convert to fraction form
    280,898.70/421,348.05 = 112,499.70/x
  3. Step 3: Cross multiply
    280,898.70x = 421,348.05 × 112,499.70
  4. Step 4: Simplify right side
    280,898.70x = 47,401,529,220.59
  5. Step 5: Solve for x
    x = 47,401,529,220.59/280,898.70
  6. Step 6: Final answer
    x = 168,749.55

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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.