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Finding the Fourth Proportional to 708,794.25, 978,100.57 and 402,830.21

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Solution

The fourth proportional to 708,794.25, 978,100.57 and 402,830.21 is: 555,885.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,794.25 : 978,100.57 = 402,830.21 : x
  2. Step 2: Convert to fraction form
    708,794.25/978,100.57 = 402,830.21/x
  3. Step 3: Cross multiply
    708,794.25x = 978,100.57 × 402,830.21
  4. Step 4: Simplify right side
    708,794.25x = 394,008,458,697.09
  5. Step 5: Solve for x
    x = 394,008,458,697.09/708,794.25
  6. Step 6: Final answer
    x = 555,885.52

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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.