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Finding the Fourth Proportional to 280,642.50, 421,116.03 and 162,544.50

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Solution

The fourth proportional to 280,642.50, 421,116.03 and 162,544.50 is: 243,904.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,642.50 : 421,116.03 = 162,544.50 : x
  2. Step 2: Convert to fraction form
    280,642.50/421,116.03 = 162,544.50/x
  3. Step 3: Cross multiply
    280,642.50x = 421,116.03 × 162,544.50
  4. Step 4: Simplify right side
    280,642.50x = 68,450,094,538.34
  5. Step 5: Solve for x
    x = 68,450,094,538.34/280,642.50
  6. Step 6: Final answer
    x = 243,904.95

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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.