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Finding the Fourth Proportional to 320,437, 480,661.98 and 98,821

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Solution

The fourth proportional to 320,437, 480,661.98 and 98,821 is: 148,233.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,437 : 480,661.98 = 98,821 : x
  2. Step 2: Convert to fraction form
    320,437/480,661.98 = 98,821/x
  3. Step 3: Cross multiply
    320,437x = 480,661.98 × 98,821
  4. Step 4: Simplify right side
    320,437x = 47,499,497,525.58
  5. Step 5: Solve for x
    x = 47,499,497,525.58/320,437
  6. Step 6: Final answer
    x = 148,233.50

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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.