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Finding the Fourth Proportional to 491,302.52, 678,028.37 and 297,727.17

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Solution

The fourth proportional to 491,302.52, 678,028.37 and 297,727.17 is: 410,882.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,302.52 : 678,028.37 = 297,727.17 : x
  2. Step 2: Convert to fraction form
    491,302.52/678,028.37 = 297,727.17/x
  3. Step 3: Cross multiply
    491,302.52x = 678,028.37 × 297,727.17
  4. Step 4: Simplify right side
    491,302.52x = 201,867,467,779.81
  5. Step 5: Solve for x
    x = 201,867,467,779.81/491,302.52
  6. Step 6: Final answer
    x = 410,882.22

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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.