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Finding the Fourth Proportional to 308,410.20, 462,647.70 and 97,999.20

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Solution

The fourth proportional to 308,410.20, 462,647.70 and 97,999.20 is: 147,009.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,410.20 : 462,647.70 = 97,999.20 : x
  2. Step 2: Convert to fraction form
    308,410.20/462,647.70 = 97,999.20/x
  3. Step 3: Cross multiply
    308,410.20x = 462,647.70 × 97,999.20
  4. Step 4: Simplify right side
    308,410.20x = 45,339,104,481.84
  5. Step 5: Solve for x
    x = 45,339,104,481.84/308,410.20
  6. Step 6: Final answer
    x = 147,009.10

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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.