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Finding the Fourth Proportional to 431,142.02, 646,989.82 and 289,147.65

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Solution

The fourth proportional to 431,142.02, 646,989.82 and 289,147.65 is: 433,907.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,142.02 : 646,989.82 = 289,147.65 : x
  2. Step 2: Convert to fraction form
    431,142.02/646,989.82 = 289,147.65/x
  3. Step 3: Cross multiply
    431,142.02x = 646,989.82 × 289,147.65
  4. Step 4: Simplify right side
    431,142.02x = 187,075,585,304.05
  5. Step 5: Solve for x
    x = 187,075,585,304.05/431,142.02
  6. Step 6: Final answer
    x = 433,907.10

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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.