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Finding the Fourth Proportional to 308,200.80, 462,382.20 and 97,838.40

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Solution

The fourth proportional to 308,200.80, 462,382.20 and 97,838.40 is: 146,783.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,200.80 : 462,382.20 = 97,838.40 : x
  2. Step 2: Convert to fraction form
    308,200.80/462,382.20 = 97,838.40/x
  3. Step 3: Cross multiply
    308,200.80x = 462,382.20 × 97,838.40
  4. Step 4: Simplify right side
    308,200.80x = 45,238,734,636.48
  5. Step 5: Solve for x
    x = 45,238,734,636.48/308,200.80
  6. Step 6: Final answer
    x = 146,783.31

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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.