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Finding the Fourth Proportional to 204,905.70, 307,358.55 and 186,534.90

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Solution

The fourth proportional to 204,905.70, 307,358.55 and 186,534.90 is: 279,802.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,905.70 : 307,358.55 = 186,534.90 : x
  2. Step 2: Convert to fraction form
    204,905.70/307,358.55 = 186,534.90/x
  3. Step 3: Cross multiply
    204,905.70x = 307,358.55 × 186,534.90
  4. Step 4: Simplify right side
    204,905.70x = 57,333,096,388.40
  5. Step 5: Solve for x
    x = 57,333,096,388.40/204,905.70
  6. Step 6: Final answer
    x = 279,802.35

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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.