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Finding the Fourth Proportional to 320,054.99, 480,383.80 and 162,396.59

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Solution

The fourth proportional to 320,054.99, 480,383.80 and 162,396.59 is: 243,747.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,054.99 : 480,383.80 = 162,396.59 : x
  2. Step 2: Convert to fraction form
    320,054.99/480,383.80 = 162,396.59/x
  3. Step 3: Cross multiply
    320,054.99x = 480,383.80 × 162,396.59
  4. Step 4: Simplify right side
    320,054.99x = 78,012,688,203.33
  5. Step 5: Solve for x
    x = 78,012,688,203.33/320,054.99
  6. Step 6: Final answer
    x = 243,747.77

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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.