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Finding the Fourth Proportional to 225,478.94, 311,161.07 and 123,506.10

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Solution

The fourth proportional to 225,478.94, 311,161.07 and 123,506.10 is: 170,438.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,478.94 : 311,161.07 = 123,506.10 : x
  2. Step 2: Convert to fraction form
    225,478.94/311,161.07 = 123,506.10/x
  3. Step 3: Cross multiply
    225,478.94x = 311,161.07 × 123,506.10
  4. Step 4: Simplify right side
    225,478.94x = 38,430,291,501.64
  5. Step 5: Solve for x
    x = 38,430,291,501.64/225,478.94
  6. Step 6: Final answer
    x = 170,438.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.