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Finding the Fourth Proportional to 708,817.58, 978,192.78 and 402,906.80

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Solution

The fourth proportional to 708,817.58, 978,192.78 and 402,906.80 is: 556,025.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,817.58 : 978,192.78 = 402,906.80 : x
  2. Step 2: Convert to fraction form
    708,817.58/978,192.78 = 402,906.80/x
  3. Step 3: Cross multiply
    708,817.58x = 978,192.78 × 402,906.80
  4. Step 4: Simplify right side
    708,817.58x = 394,120,522,772.90
  5. Step 5: Solve for x
    x = 394,120,522,772.90/708,817.58
  6. Step 6: Final answer
    x = 556,025.32

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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.