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Finding the Fourth Proportional to 285,286.60, 427,814.70 and 98,201.80

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Solution

The fourth proportional to 285,286.60, 427,814.70 and 98,201.80 is: 147,263.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,286.60 : 427,814.70 = 98,201.80 : x
  2. Step 2: Convert to fraction form
    285,286.60/427,814.70 = 98,201.80/x
  3. Step 3: Cross multiply
    285,286.60x = 427,814.70 × 98,201.80
  4. Step 4: Simplify right side
    285,286.60x = 42,012,173,606.46
  5. Step 5: Solve for x
    x = 42,012,173,606.46/285,286.60
  6. Step 6: Final answer
    x = 147,263.05

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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.