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Finding the Fourth Proportional to 700,568, 966,784.96 and 398,762

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Solution

The fourth proportional to 700,568, 966,784.96 and 398,762 is: 550,292.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,568 : 966,784.96 = 398,762 : x
  2. Step 2: Convert to fraction form
    700,568/966,784.96 = 398,762/x
  3. Step 3: Cross multiply
    700,568x = 966,784.96 × 398,762
  4. Step 4: Simplify right side
    700,568x = 385,517,104,219.52
  5. Step 5: Solve for x
    x = 385,517,104,219.52/700,568
  6. Step 6: Final answer
    x = 550,292.20

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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.