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Finding the Fourth Proportional to 491,934.47, 678,873.35 and 277,054.43

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Solution

The fourth proportional to 491,934.47, 678,873.35 and 277,054.43 is: 382,337.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,934.47 : 678,873.35 = 277,054.43 : x
  2. Step 2: Convert to fraction form
    491,934.47/678,873.35 = 277,054.43/x
  3. Step 3: Cross multiply
    491,934.47x = 678,873.35 × 277,054.43
  4. Step 4: Simplify right side
    491,934.47x = 188,084,866,324.71
  5. Step 5: Solve for x
    x = 188,084,866,324.71/491,934.47
  6. Step 6: Final answer
    x = 382,337.24

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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.