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Finding the Fourth Proportional to 368,965.96, 509,211.30 and 225,821.32

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Solution

The fourth proportional to 368,965.96, 509,211.30 and 225,821.32 is: 311,656.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,965.96 : 509,211.30 = 225,821.32 : x
  2. Step 2: Convert to fraction form
    368,965.96/509,211.30 = 225,821.32/x
  3. Step 3: Cross multiply
    368,965.96x = 509,211.30 × 225,821.32
  4. Step 4: Simplify right side
    368,965.96x = 114,990,767,924.92
  5. Step 5: Solve for x
    x = 114,990,767,924.92/368,965.96
  6. Step 6: Final answer
    x = 311,656.85

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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.