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Finding the Fourth Proportional to 309,110.40, 463,665.60 and 98,755.20

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Solution

The fourth proportional to 309,110.40, 463,665.60 and 98,755.20 is: 148,132.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,110.40 : 463,665.60 = 98,755.20 : x
  2. Step 2: Convert to fraction form
    309,110.40/463,665.60 = 98,755.20/x
  3. Step 3: Cross multiply
    309,110.40x = 463,665.60 × 98,755.20
  4. Step 4: Simplify right side
    309,110.40x = 45,789,389,061.12
  5. Step 5: Solve for x
    x = 45,789,389,061.12/309,110.40
  6. Step 6: Final answer
    x = 148,132.80

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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.