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Finding the Fourth Proportional to 320,544, 480,816 and 87,072

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Solution

The fourth proportional to 320,544, 480,816 and 87,072 is: 130,608

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,544 : 480,816 = 87,072 : x
  2. Step 2: Convert to fraction form
    320,544/480,816 = 87,072/x
  3. Step 3: Cross multiply
    320,544x = 480,816 × 87,072
  4. Step 4: Simplify right side
    320,544x = 41,865,610,752
  5. Step 5: Solve for x
    x = 41,865,610,752/320,544
  6. Step 6: Final answer
    x = 130,608

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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.