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Finding the Fourth Proportional to 308,869.60, 463,304.40 and 238,799.20

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Solution

The fourth proportional to 308,869.60, 463,304.40 and 238,799.20 is: 358,198.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,869.60 : 463,304.40 = 238,799.20 : x
  2. Step 2: Convert to fraction form
    308,869.60/463,304.40 = 238,799.20/x
  3. Step 3: Cross multiply
    308,869.60x = 463,304.40 × 238,799.20
  4. Step 4: Simplify right side
    308,869.60x = 110,636,720,076.48
  5. Step 5: Solve for x
    x = 110,636,720,076.48/308,869.60
  6. Step 6: Final answer
    x = 358,198.80

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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.