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Finding the Fourth Proportional to 415,247.88, 620,596.32 and 303,164.13

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Solution

The fourth proportional to 415,247.88, 620,596.32 and 303,164.13 is: 453,084.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,247.88 : 620,596.32 = 303,164.13 : x
  2. Step 2: Convert to fraction form
    415,247.88/620,596.32 = 303,164.13/x
  3. Step 3: Cross multiply
    415,247.88x = 620,596.32 × 303,164.13
  4. Step 4: Simplify right side
    415,247.88x = 188,142,543,434.00
  5. Step 5: Solve for x
    x = 188,142,543,434.00/415,247.88
  6. Step 6: Final answer
    x = 453,084.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.