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Finding the Fourth Proportional to 1,020,919.68, 1,528,704.09 and 719,769.78

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Solution

The fourth proportional to 1,020,919.68, 1,528,704.09 and 719,769.78 is: 1,077,768.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020,919.68 : 1,528,704.09 = 719,769.78 : x
  2. Step 2: Convert to fraction form
    1,020,919.68/1,528,704.09 = 719,769.78/x
  3. Step 3: Cross multiply
    1,020,919.68x = 1,528,704.09 × 719,769.78
  4. Step 4: Simplify right side
    1,020,919.68x = 1,100,315,006,544.40
  5. Step 5: Solve for x
    x = 1,100,315,006,544.40/1,020,919.68
  6. Step 6: Final answer
    x = 1,077,768.44

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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.