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Finding the Fourth Proportional to 495,622.65, 683,993.10 and 280,764.48

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Solution

The fourth proportional to 495,622.65, 683,993.10 and 280,764.48 is: 387,474.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,622.65 : 683,993.10 = 280,764.48 : x
  2. Step 2: Convert to fraction form
    495,622.65/683,993.10 = 280,764.48/x
  3. Step 3: Cross multiply
    495,622.65x = 683,993.10 × 280,764.48
  4. Step 4: Simplify right side
    495,622.65x = 192,040,967,045.09
  5. Step 5: Solve for x
    x = 192,040,967,045.09/495,622.65
  6. Step 6: Final answer
    x = 387,474.15

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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.