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Finding the Fourth Proportional to 431,130.25, 646,972.17 and 289,135.90

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Solution

The fourth proportional to 431,130.25, 646,972.17 and 289,135.90 is: 433,889.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,130.25 : 646,972.17 = 289,135.90 : x
  2. Step 2: Convert to fraction form
    431,130.25/646,972.17 = 289,135.90/x
  3. Step 3: Cross multiply
    431,130.25x = 646,972.17 × 289,135.90
  4. Step 4: Simplify right side
    431,130.25x = 187,062,880,647.90
  5. Step 5: Solve for x
    x = 187,062,880,647.90/431,130.25
  6. Step 6: Final answer
    x = 433,889.48

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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.