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Finding the Fourth Proportional to 320,004.36, 480,307.86 and 162,345.96

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Solution

The fourth proportional to 320,004.36, 480,307.86 and 162,345.96 is: 243,671.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,004.36 : 480,307.86 = 162,345.96 : x
  2. Step 2: Convert to fraction form
    320,004.36/480,307.86 = 162,345.96/x
  3. Step 3: Cross multiply
    320,004.36x = 480,307.86 × 162,345.96
  4. Step 4: Simplify right side
    320,004.36x = 77,976,040,627.25
  5. Step 5: Solve for x
    x = 77,976,040,627.25/320,004.36
  6. Step 6: Final answer
    x = 243,671.81

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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.