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Finding the Fourth Proportional to 309,324.33, 463,887.68 and 98,912.25

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Solution

The fourth proportional to 309,324.33, 463,887.68 and 98,912.25 is: 148,336.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,324.33 : 463,887.68 = 98,912.25 : x
  2. Step 2: Convert to fraction form
    309,324.33/463,887.68 = 98,912.25/x
  3. Step 3: Cross multiply
    309,324.33x = 463,887.68 × 98,912.25
  4. Step 4: Simplify right side
    309,324.33x = 45,884,173,681.52
  5. Step 5: Solve for x
    x = 45,884,173,681.52/309,324.33
  6. Step 6: Final answer
    x = 148,336.78

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1.5x scale

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.