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Finding the Fourth Proportional to 491,383.40, 678,106.77 and 276,527.06

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Solution

The fourth proportional to 491,383.40, 678,106.77 and 276,527.06 is: 381,606.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,383.40 : 678,106.77 = 276,527.06 : x
  2. Step 2: Convert to fraction form
    491,383.40/678,106.77 = 276,527.06/x
  3. Step 3: Cross multiply
    491,383.40x = 678,106.77 × 276,527.06
  4. Step 4: Simplify right side
    491,383.40x = 187,514,871,474.20
  5. Step 5: Solve for x
    x = 187,514,871,474.20/491,383.40
  6. Step 6: Final answer
    x = 381,606.04

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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.