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Finding the Fourth Proportional to 491,898.60, 678,822.48 and 277,042.32

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Solution

The fourth proportional to 491,898.60, 678,822.48 and 277,042.32 is: 382,319.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,898.60 : 678,822.48 = 277,042.32 : x
  2. Step 2: Convert to fraction form
    491,898.60/678,822.48 = 277,042.32/x
  3. Step 3: Cross multiply
    491,898.60x = 678,822.48 × 277,042.32
  4. Step 4: Simplify right side
    491,898.60x = 188,062,554,727.35
  5. Step 5: Solve for x
    x = 188,062,554,727.35/491,898.60
  6. Step 6: Final answer
    x = 382,319.76

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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.