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Finding the Fourth Proportional to 493,396.21, 680,903.28 and 302,372.71

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Solution

The fourth proportional to 493,396.21, 680,903.28 and 302,372.71 is: 417,284.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,396.21 : 680,903.28 = 302,372.71 : x
  2. Step 2: Convert to fraction form
    493,396.21/680,903.28 = 302,372.71/x
  3. Step 3: Cross multiply
    493,396.21x = 680,903.28 × 302,372.71
  4. Step 4: Simplify right side
    493,396.21x = 205,886,570,021.49
  5. Step 5: Solve for x
    x = 205,886,570,021.49/493,396.21
  6. Step 6: Final answer
    x = 417,284.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.