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Finding the Fourth Proportional to 280,818.54, 421,301.67 and 100,922.14

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Solution

The fourth proportional to 280,818.54, 421,301.67 and 100,922.14 is: 151,409.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,818.54 : 421,301.67 = 100,922.14 : x
  2. Step 2: Convert to fraction form
    280,818.54/421,301.67 = 100,922.14/x
  3. Step 3: Cross multiply
    280,818.54x = 421,301.67 × 100,922.14
  4. Step 4: Simplify right side
    280,818.54x = 42,518,666,121.97
  5. Step 5: Solve for x
    x = 42,518,666,121.97/280,818.54
  6. Step 6: Final answer
    x = 151,409.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.