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Finding the Fourth Proportional to 313,969.95, 470,889.05 and 103,558.59

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Solution

The fourth proportional to 313,969.95, 470,889.05 and 103,558.59 is: 155,316.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,969.95 : 470,889.05 = 103,558.59 : x
  2. Step 2: Convert to fraction form
    313,969.95/470,889.05 = 103,558.59/x
  3. Step 3: Cross multiply
    313,969.95x = 470,889.05 × 103,558.59
  4. Step 4: Simplify right side
    313,969.95x = 48,764,605,546.65
  5. Step 5: Solve for x
    x = 48,764,605,546.65/313,969.95
  6. Step 6: Final answer
    x = 155,316.16

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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.