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Finding the Fourth Proportional to 1,397,804, 2,096,706 and 400,532

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Solution

The fourth proportional to 1,397,804, 2,096,706 and 400,532 is: 600,798

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397,804 : 2,096,706 = 400,532 : x
  2. Step 2: Convert to fraction form
    1,397,804/2,096,706 = 400,532/x
  3. Step 3: Cross multiply
    1,397,804x = 2,096,706 × 400,532
  4. Step 4: Simplify right side
    1,397,804x = 839,797,847,592
  5. Step 5: Solve for x
    x = 839,797,847,592/1,397,804
  6. Step 6: Final answer
    x = 600,798

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.