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Finding the Fourth Proportional to 491,864.76, 678,786 and 277,012.20

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Solution

The fourth proportional to 491,864.76, 678,786 and 277,012.20 is: 382,283.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,864.76 : 678,786 = 277,012.20 : x
  2. Step 2: Convert to fraction form
    491,864.76/678,786 = 277,012.20/x
  3. Step 3: Cross multiply
    491,864.76x = 678,786 × 277,012.20
  4. Step 4: Simplify right side
    491,864.76x = 188,032,003,189.20
  5. Step 5: Solve for x
    x = 188,032,003,189.20/491,864.76
  6. Step 6: Final answer
    x = 382,283.95

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1.5x scale

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.