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Finding the Fourth Proportional to 280,999.44, 421,302.02 and 103,483.68

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Solution

The fourth proportional to 280,999.44, 421,302.02 and 103,483.68 is: 155,152.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,999.44 : 421,302.02 = 103,483.68 : x
  2. Step 2: Convert to fraction form
    280,999.44/421,302.02 = 103,483.68/x
  3. Step 3: Cross multiply
    280,999.44x = 421,302.02 × 103,483.68
  4. Step 4: Simplify right side
    280,999.44x = 43,597,882,903.62
  5. Step 5: Solve for x
    x = 43,597,882,903.62/280,999.44
  6. Step 6: Final answer
    x = 155,152.92

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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.