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Finding the Fourth Proportional to 313,924.98, 470,256.21 and 145,208.46

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Solution

The fourth proportional to 313,924.98, 470,256.21 and 145,208.46 is: 217,520.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,924.98 : 470,256.21 = 145,208.46 : x
  2. Step 2: Convert to fraction form
    313,924.98/470,256.21 = 145,208.46/x
  3. Step 3: Cross multiply
    313,924.98x = 470,256.21 × 145,208.46
  4. Step 4: Simplify right side
    313,924.98x = 68,285,180,059.54
  5. Step 5: Solve for x
    x = 68,285,180,059.54/313,924.98
  6. Step 6: Final answer
    x = 217,520.70

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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.