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Finding the Fourth Proportional to 306,239.45, 459,420.49 and 171,495.14

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Solution

The fourth proportional to 306,239.45, 459,420.49 and 171,495.14 is: 257,277.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,239.45 : 459,420.49 = 171,495.14 : x
  2. Step 2: Convert to fraction form
    306,239.45/459,420.49 = 171,495.14/x
  3. Step 3: Cross multiply
    306,239.45x = 459,420.49 × 171,495.14
  4. Step 4: Simplify right side
    306,239.45x = 78,788,381,105.88
  5. Step 5: Solve for x
    x = 78,788,381,105.88/306,239.45
  6. Step 6: Final answer
    x = 257,277.05

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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.