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Finding the Fourth Proportional to 280,756.75, 421,015.24 and 162,509.71

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Solution

The fourth proportional to 280,756.75, 421,015.24 and 162,509.71 is: 243,695.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,756.75 : 421,015.24 = 162,509.71 : x
  2. Step 2: Convert to fraction form
    280,756.75/421,015.24 = 162,509.71/x
  3. Step 3: Cross multiply
    280,756.75x = 421,015.24 × 162,509.71
  4. Step 4: Simplify right side
    280,756.75x = 68,419,064,557.98
  5. Step 5: Solve for x
    x = 68,419,064,557.98/280,756.75
  6. Step 6: Final answer
    x = 243,695.17

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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.