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Finding the Fourth Proportional to 308,133.40, 462,200.10 and 142,245.40

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Solution

The fourth proportional to 308,133.40, 462,200.10 and 142,245.40 is: 213,368.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,133.40 : 462,200.10 = 142,245.40 : x
  2. Step 2: Convert to fraction form
    308,133.40/462,200.10 = 142,245.40/x
  3. Step 3: Cross multiply
    308,133.40x = 462,200.10 × 142,245.40
  4. Step 4: Simplify right side
    308,133.40x = 65,745,838,104.54
  5. Step 5: Solve for x
    x = 65,745,838,104.54/308,133.40
  6. Step 6: Final answer
    x = 213,368.10

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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.