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Finding the Fourth Proportional to 495,622.17, 683,992.41 and 280,764

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Solution

The fourth proportional to 495,622.17, 683,992.41 and 280,764 is: 387,473.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,622.17 : 683,992.41 = 280,764 : x
  2. Step 2: Convert to fraction form
    495,622.17/683,992.41 = 280,764/x
  3. Step 3: Cross multiply
    495,622.17x = 683,992.41 × 280,764
  4. Step 4: Simplify right side
    495,622.17x = 192,040,445,001.24
  5. Step 5: Solve for x
    x = 192,040,445,001.24/495,622.17
  6. Step 6: Final answer
    x = 387,473.48

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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.