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Finding the Fourth Proportional to 709,582.40, 978,786.38 and 505,699.33

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Solution

The fourth proportional to 709,582.40, 978,786.38 and 505,699.33 is: 697,553.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,582.40 : 978,786.38 = 505,699.33 : x
  2. Step 2: Convert to fraction form
    709,582.40/978,786.38 = 505,699.33/x
  3. Step 3: Cross multiply
    709,582.40x = 978,786.38 × 505,699.33
  4. Step 4: Simplify right side
    709,582.40x = 494,971,614,478.80
  5. Step 5: Solve for x
    x = 494,971,614,478.80/709,582.40
  6. Step 6: Final answer
    x = 697,553.40

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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.