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Finding the Fourth Proportional to 495,434.50, 683,676.74 and 280,576.10

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Solution

The fourth proportional to 495,434.50, 683,676.74 and 280,576.10 is: 387,182.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,434.50 : 683,676.74 = 280,576.10 : x
  2. Step 2: Convert to fraction form
    495,434.50/683,676.74 = 280,576.10/x
  3. Step 3: Cross multiply
    495,434.50x = 683,676.74 × 280,576.10
  4. Step 4: Simplify right side
    495,434.50x = 191,823,351,967.03
  5. Step 5: Solve for x
    x = 191,823,351,967.03/495,434.50
  6. Step 6: Final answer
    x = 387,182.07

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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.