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Finding the Fourth Proportional to 495,896.78, 684,289.72 and 278,114.28

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Solution

The fourth proportional to 495,896.78, 684,289.72 and 278,114.28 is: 383,770.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,896.78 : 684,289.72 = 278,114.28 : x
  2. Step 2: Convert to fraction form
    495,896.78/684,289.72 = 278,114.28/x
  3. Step 3: Cross multiply
    495,896.78x = 684,289.72 × 278,114.28
  4. Step 4: Simplify right side
    495,896.78x = 190,310,742,789.20
  5. Step 5: Solve for x
    x = 190,310,742,789.20/495,896.78
  6. Step 6: Final answer
    x = 383,770.88

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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.