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Finding the Fourth Proportional to 313,812.80, 470,719.20 and 100,580.30

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Solution

The fourth proportional to 313,812.80, 470,719.20 and 100,580.30 is: 150,870.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,812.80 : 470,719.20 = 100,580.30 : x
  2. Step 2: Convert to fraction form
    313,812.80/470,719.20 = 100,580.30/x
  3. Step 3: Cross multiply
    313,812.80x = 470,719.20 × 100,580.30
  4. Step 4: Simplify right side
    313,812.80x = 47,345,078,351.76
  5. Step 5: Solve for x
    x = 47,345,078,351.76/313,812.80
  6. Step 6: Final answer
    x = 150,870.45

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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.