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Finding the Fourth Proportional to 700,548, 966,757.32 and 398,742

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Solution

The fourth proportional to 700,548, 966,757.32 and 398,742 is: 550,264.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,548 : 966,757.32 = 398,742 : x
  2. Step 2: Convert to fraction form
    700,548/966,757.32 = 398,742/x
  3. Step 3: Cross multiply
    700,548x = 966,757.32 × 398,742
  4. Step 4: Simplify right side
    700,548x = 385,486,747,291.44
  5. Step 5: Solve for x
    x = 385,486,747,291.44/700,548
  6. Step 6: Final answer
    x = 550,264.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.