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Finding the Fourth Proportional to 308,090.30, 462,135.45 and 142,202.30

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Solution

The fourth proportional to 308,090.30, 462,135.45 and 142,202.30 is: 213,303.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,090.30 : 462,135.45 = 142,202.30 : x
  2. Step 2: Convert to fraction form
    308,090.30/462,135.45 = 142,202.30/x
  3. Step 3: Cross multiply
    308,090.30x = 462,135.45 × 142,202.30
  4. Step 4: Simplify right side
    308,090.30x = 65,716,723,901.54
  5. Step 5: Solve for x
    x = 65,716,723,901.54/308,090.30
  6. Step 6: Final answer
    x = 213,303.45

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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.