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Finding the Fourth Proportional to 368,965.21, 509,210.27 and 225,820.57

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Solution

The fourth proportional to 368,965.21, 509,210.27 and 225,820.57 is: 311,655.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,965.21 : 509,210.27 = 225,820.57 : x
  2. Step 2: Convert to fraction form
    368,965.21/509,210.27 = 225,820.57/x
  3. Step 3: Cross multiply
    368,965.21x = 509,210.27 × 225,820.57
  4. Step 4: Simplify right side
    368,965.21x = 114,990,152,292.15
  5. Step 5: Solve for x
    x = 114,990,152,292.15/368,965.21
  6. Step 6: Final answer
    x = 311,655.81

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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.