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Finding the Fourth Proportional to 320,098.59, 480,199.73 and 98,430.75

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Solution

The fourth proportional to 320,098.59, 480,199.73 and 98,430.75 is: 147,662.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,098.59 : 480,199.73 = 98,430.75 : x
  2. Step 2: Convert to fraction form
    320,098.59/480,199.73 = 98,430.75/x
  3. Step 3: Cross multiply
    320,098.59x = 480,199.73 × 98,430.75
  4. Step 4: Simplify right side
    320,098.59x = 47,266,419,081.54
  5. Step 5: Solve for x
    x = 47,266,419,081.54/320,098.59
  6. Step 6: Final answer
    x = 147,662.07

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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.