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Finding the Fourth Proportional to 296,720, 445,150 and 97,039.60

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Solution

The fourth proportional to 296,720, 445,150 and 97,039.60 is: 145,582.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,720 : 445,150 = 97,039.60 : x
  2. Step 2: Convert to fraction form
    296,720/445,150 = 97,039.60/x
  3. Step 3: Cross multiply
    296,720x = 445,150 × 97,039.60
  4. Step 4: Simplify right side
    296,720x = 43,197,177,940
  5. Step 5: Solve for x
    x = 43,197,177,940/296,720
  6. Step 6: Final answer
    x = 145,582.29

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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.