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Finding the Fourth Proportional to 722,485.80, 997,063.22 and 400,195.86

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Solution

The fourth proportional to 722,485.80, 997,063.22 and 400,195.86 is: 552,288.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,485.80 : 997,063.22 = 400,195.86 : x
  2. Step 2: Convert to fraction form
    722,485.80/997,063.22 = 400,195.86/x
  3. Step 3: Cross multiply
    722,485.80x = 997,063.22 × 400,195.86
  4. Step 4: Simplify right side
    722,485.80x = 399,020,567,816.95
  5. Step 5: Solve for x
    x = 399,020,567,816.95/722,485.80
  6. Step 6: Final answer
    x = 552,288.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.