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Finding the Fourth Proportional to 495,435, 683,677.42 and 280,576.60

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Solution

The fourth proportional to 495,435, 683,677.42 and 280,576.60 is: 387,182.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,435 : 683,677.42 = 280,576.60 : x
  2. Step 2: Convert to fraction form
    495,435/683,677.42 = 280,576.60/x
  3. Step 3: Cross multiply
    495,435x = 683,677.42 × 280,576.60
  4. Step 4: Simplify right side
    495,435x = 191,823,886,000.37
  5. Step 5: Solve for x
    x = 191,823,886,000.37/495,435
  6. Step 6: Final answer
    x = 387,182.75

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