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Finding the Fourth Proportional to 320,437.50, 480,662.73 and 98,821.50

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Solution

The fourth proportional to 320,437.50, 480,662.73 and 98,821.50 is: 148,234.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,437.50 : 480,662.73 = 98,821.50 : x
  2. Step 2: Convert to fraction form
    320,437.50/480,662.73 = 98,821.50/x
  3. Step 3: Cross multiply
    320,437.50x = 480,662.73 × 98,821.50
  4. Step 4: Simplify right side
    320,437.50x = 47,499,811,972.70
  5. Step 5: Solve for x
    x = 47,499,811,972.70/320,437.50
  6. Step 6: Final answer
    x = 148,234.25

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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.