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Finding the Fourth Proportional to 708,868.69, 978,314.66 and 433,388.19

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Solution

The fourth proportional to 708,868.69, 978,314.66 and 433,388.19 is: 598,122.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,868.69 : 978,314.66 = 433,388.19 : x
  2. Step 2: Convert to fraction form
    708,868.69/978,314.66 = 433,388.19/x
  3. Step 3: Cross multiply
    708,868.69x = 978,314.66 × 433,388.19
  4. Step 4: Simplify right side
    708,868.69x = 423,990,021,249.60
  5. Step 5: Solve for x
    x = 423,990,021,249.60/708,868.69
  6. Step 6: Final answer
    x = 598,122.09

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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.