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Finding the Fourth Proportional to 313,923.48, 470,253.96 and 145,206.96

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Solution

The fourth proportional to 313,923.48, 470,253.96 and 145,206.96 is: 217,518.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,923.48 : 470,253.96 = 145,206.96 : x
  2. Step 2: Convert to fraction form
    313,923.48/470,253.96 = 145,206.96/x
  3. Step 3: Cross multiply
    313,923.48x = 470,253.96 × 145,206.96
  4. Step 4: Simplify right side
    313,923.48x = 68,284,147,959.56
  5. Step 5: Solve for x
    x = 68,284,147,959.56/313,923.48
  6. Step 6: Final answer
    x = 217,518.45

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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.