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Finding the Fourth Proportional to 306,153, 458,806.68 and 171,288

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Solution

The fourth proportional to 306,153, 458,806.68 and 171,288 is: 256,695.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,153 : 458,806.68 = 171,288 : x
  2. Step 2: Convert to fraction form
    306,153/458,806.68 = 171,288/x
  3. Step 3: Cross multiply
    306,153x = 458,806.68 × 171,288
  4. Step 4: Simplify right side
    306,153x = 78,588,078,603.84
  5. Step 5: Solve for x
    x = 78,588,078,603.84/306,153
  6. Step 6: Final answer
    x = 256,695.44

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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.