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Finding the Fourth Proportional to 314,085.45, 470,940.91 and 213,007.78

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Solution

The fourth proportional to 314,085.45, 470,940.91 and 213,007.78 is: 319,384.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,085.45 : 470,940.91 = 213,007.78 : x
  2. Step 2: Convert to fraction form
    314,085.45/470,940.91 = 213,007.78/x
  3. Step 3: Cross multiply
    314,085.45x = 470,940.91 × 213,007.78
  4. Step 4: Simplify right side
    314,085.45x = 100,314,075,756.48
  5. Step 5: Solve for x
    x = 100,314,075,756.48/314,085.45
  6. Step 6: Final answer
    x = 319,384.67

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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.