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Finding the Fourth Proportional to 280,953.90, 421,378.53 and 81,224.88

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Solution

The fourth proportional to 280,953.90, 421,378.53 and 81,224.88 is: 121,822.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,953.90 : 421,378.53 = 81,224.88 : x
  2. Step 2: Convert to fraction form
    280,953.90/421,378.53 = 81,224.88/x
  3. Step 3: Cross multiply
    280,953.90x = 421,378.53 × 81,224.88
  4. Step 4: Simplify right side
    280,953.90x = 34,226,420,533.83
  5. Step 5: Solve for x
    x = 34,226,420,533.83/280,953.90
  6. Step 6: Final answer
    x = 121,822.19

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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.