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Finding the Fourth Proportional to 708,940.89, 978,300 and 402,974.82

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Solution

The fourth proportional to 708,940.89, 978,300 and 402,974.82 is: 556,083.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,940.89 : 978,300 = 402,974.82 : x
  2. Step 2: Convert to fraction form
    708,940.89/978,300 = 402,974.82/x
  3. Step 3: Cross multiply
    708,940.89x = 978,300 × 402,974.82
  4. Step 4: Simplify right side
    708,940.89x = 394,230,266,406
  5. Step 5: Solve for x
    x = 394,230,266,406/708,940.89
  6. Step 6: Final answer
    x = 556,083.41

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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.