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Finding the Fourth Proportional to 308,718.40, 463,336.80 and 140,497.60

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Solution

The fourth proportional to 308,718.40, 463,336.80 and 140,497.60 is: 210,864.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,718.40 : 463,336.80 = 140,497.60 : x
  2. Step 2: Convert to fraction form
    308,718.40/463,336.80 = 140,497.60/x
  3. Step 3: Cross multiply
    308,718.40x = 463,336.80 × 140,497.60
  4. Step 4: Simplify right side
    308,718.40x = 65,097,708,391.68
  5. Step 5: Solve for x
    x = 65,097,708,391.68/308,718.40
  6. Step 6: Final answer
    x = 210,864.36

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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.