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Finding the Fourth Proportional to 203,543.55, 305,315.33 and 194,904.90

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Solution

The fourth proportional to 203,543.55, 305,315.33 and 194,904.90 is: 292,357.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,543.55 : 305,315.33 = 194,904.90 : x
  2. Step 2: Convert to fraction form
    203,543.55/305,315.33 = 194,904.90/x
  3. Step 3: Cross multiply
    203,543.55x = 305,315.33 × 194,904.90
  4. Step 4: Simplify right side
    203,543.55x = 59,507,452,887.59
  5. Step 5: Solve for x
    x = 59,507,452,887.59/203,543.55
  6. Step 6: Final answer
    x = 292,357.35

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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.