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Finding the Fourth Proportional to 495,472.56, 742,608.36 and 228,678

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Solution

The fourth proportional to 495,472.56, 742,608.36 and 228,678 is: 342,739.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,472.56 : 742,608.36 = 228,678 : x
  2. Step 2: Convert to fraction form
    495,472.56/742,608.36 = 228,678/x
  3. Step 3: Cross multiply
    495,472.56x = 742,608.36 × 228,678
  4. Step 4: Simplify right side
    495,472.56x = 169,818,194,548.08
  5. Step 5: Solve for x
    x = 169,818,194,548.08/495,472.56
  6. Step 6: Final answer
    x = 342,739.86

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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.