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Finding the Fourth Proportional to 427,838.78, 642,388.97 and 238,668.75

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Solution

The fourth proportional to 427,838.78, 642,388.97 and 238,668.75 is: 358,355.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,838.78 : 642,388.97 = 238,668.75 : x
  2. Step 2: Convert to fraction form
    427,838.78/642,388.97 = 238,668.75/x
  3. Step 3: Cross multiply
    427,838.78x = 642,388.97 × 238,668.75
  4. Step 4: Simplify right side
    427,838.78x = 153,318,173,080.36
  5. Step 5: Solve for x
    x = 153,318,173,080.36/427,838.78
  6. Step 6: Final answer
    x = 358,355.01

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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.