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Finding the Fourth Proportional to 308,661.40, 462,992.10 and 275,200.30

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Solution

The fourth proportional to 308,661.40, 462,992.10 and 275,200.30 is: 412,800.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,661.40 : 462,992.10 = 275,200.30 : x
  2. Step 2: Convert to fraction form
    308,661.40/462,992.10 = 275,200.30/x
  3. Step 3: Cross multiply
    308,661.40x = 462,992.10 × 275,200.30
  4. Step 4: Simplify right side
    308,661.40x = 127,415,564,817.63
  5. Step 5: Solve for x
    x = 127,415,564,817.63/308,661.40
  6. Step 6: Final answer
    x = 412,800.45

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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.