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Finding the Fourth Proportional to 478,821, 718,231.50 and 183,333

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Solution

The fourth proportional to 478,821, 718,231.50 and 183,333 is: 274,999.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,821 : 718,231.50 = 183,333 : x
  2. Step 2: Convert to fraction form
    478,821/718,231.50 = 183,333/x
  3. Step 3: Cross multiply
    478,821x = 718,231.50 × 183,333
  4. Step 4: Simplify right side
    478,821x = 131,675,535,589.50
  5. Step 5: Solve for x
    x = 131,675,535,589.50/478,821
  6. Step 6: Final answer
    x = 274,999.50

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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.