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Finding the Fourth Proportional to 368,484.54, 508,501.44 and 205,138.86

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Solution

The fourth proportional to 368,484.54, 508,501.44 and 205,138.86 is: 283,087.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,484.54 : 508,501.44 = 205,138.86 : x
  2. Step 2: Convert to fraction form
    368,484.54/508,501.44 = 205,138.86/x
  3. Step 3: Cross multiply
    368,484.54x = 508,501.44 × 205,138.86
  4. Step 4: Simplify right side
    368,484.54x = 104,313,405,709.96
  5. Step 5: Solve for x
    x = 104,313,405,709.96/368,484.54
  6. Step 6: Final answer
    x = 283,087.60

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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.