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Finding the Fourth Proportional to 381,474.46, 526,444.16 and 209,409.50

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Solution

The fourth proportional to 381,474.46, 526,444.16 and 209,409.50 is: 288,990.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,474.46 : 526,444.16 = 209,409.50 : x
  2. Step 2: Convert to fraction form
    381,474.46/526,444.16 = 209,409.50/x
  3. Step 3: Cross multiply
    381,474.46x = 526,444.16 × 209,409.50
  4. Step 4: Simplify right side
    381,474.46x = 110,242,409,770.51
  5. Step 5: Solve for x
    x = 110,242,409,770.51/381,474.46
  6. Step 6: Final answer
    x = 288,990.28

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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.