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Finding the Fourth Proportional to 766,136.01, 1,148,805.04 and 285,969.00

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Solution

The fourth proportional to 766,136.01, 1,148,805.04 and 285,969.00 is: 428,804.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,136.01 : 1,148,805.04 = 285,969.00 : x
  2. Step 2: Convert to fraction form
    766,136.01/1,148,805.04 = 285,969.00/x
  3. Step 3: Cross multiply
    766,136.01x = 1,148,805.04 × 285,969.00
  4. Step 4: Simplify right side
    766,136.01x = 328,522,626,151.02
  5. Step 5: Solve for x
    x = 328,522,626,151.02/766,136.01
  6. Step 6: Final answer
    x = 428,804.57

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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.