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Finding the Fourth Proportional to 430,805.47, 646,232.50 and 131,295.82

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Solution

The fourth proportional to 430,805.47, 646,232.50 and 131,295.82 is: 196,951.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,805.47 : 646,232.50 = 131,295.82 : x
  2. Step 2: Convert to fraction form
    430,805.47/646,232.50 = 131,295.82/x
  3. Step 3: Cross multiply
    430,805.47x = 646,232.50 × 131,295.82
  4. Step 4: Simplify right side
    430,805.47x = 84,847,622,766.99
  5. Step 5: Solve for x
    x = 84,847,622,766.99/430,805.47
  6. Step 6: Final answer
    x = 196,951.13

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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.