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Finding the Fourth Proportional to 495,682, 683,729 and 395,319.76

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Solution

The fourth proportional to 495,682, 683,729 and 395,319.76 is: 545,292.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,682 : 683,729 = 395,319.76 : x
  2. Step 2: Convert to fraction form
    495,682/683,729 = 395,319.76/x
  3. Step 3: Cross multiply
    495,682x = 683,729 × 395,319.76
  4. Step 4: Simplify right side
    495,682x = 270,291,584,185.04
  5. Step 5: Solve for x
    x = 270,291,584,185.04/495,682
  6. Step 6: Final answer
    x = 545,292.31

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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.