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Finding the Fourth Proportional to 225,205.29, 310,778.51 and 123,230.34

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Solution

The fourth proportional to 225,205.29, 310,778.51 and 123,230.34 is: 170,055.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,205.29 : 310,778.51 = 123,230.34 : x
  2. Step 2: Convert to fraction form
    225,205.29/310,778.51 = 123,230.34/x
  3. Step 3: Cross multiply
    225,205.29x = 310,778.51 × 123,230.34
  4. Step 4: Simplify right side
    225,205.29x = 38,297,340,835.84
  5. Step 5: Solve for x
    x = 38,297,340,835.84/225,205.29
  6. Step 6: Final answer
    x = 170,055.25

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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.