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Finding the Fourth Proportional to 302,865.96, 417,781.62 and 189,491.88

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Solution

The fourth proportional to 302,865.96, 417,781.62 and 189,491.88 is: 261,390.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,865.96 : 417,781.62 = 189,491.88 : x
  2. Step 2: Convert to fraction form
    302,865.96/417,781.62 = 189,491.88/x
  3. Step 3: Cross multiply
    302,865.96x = 417,781.62 × 189,491.88
  4. Step 4: Simplify right side
    302,865.96x = 79,166,224,603.25
  5. Step 5: Solve for x
    x = 79,166,224,603.25/302,865.96
  6. Step 6: Final answer
    x = 261,390.30

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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.