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Finding the Fourth Proportional to 395,719.50, 546,838.11 and 300,048.78

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Solution

The fourth proportional to 395,719.50, 546,838.11 and 300,048.78 is: 414,632.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,719.50 : 546,838.11 = 300,048.78 : x
  2. Step 2: Convert to fraction form
    395,719.50/546,838.11 = 300,048.78/x
  3. Step 3: Cross multiply
    395,719.50x = 546,838.11 × 300,048.78
  4. Step 4: Simplify right side
    395,719.50x = 164,078,107,763.01
  5. Step 5: Solve for x
    x = 164,078,107,763.01/395,719.50
  6. Step 6: Final answer
    x = 414,632.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.