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Finding the Fourth Proportional to 437,642.12, 656,499.90 and 122,102.84

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Solution

The fourth proportional to 437,642.12, 656,499.90 and 122,102.84 is: 183,164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,642.12 : 656,499.90 = 122,102.84 : x
  2. Step 2: Convert to fraction form
    437,642.12/656,499.90 = 122,102.84/x
  3. Step 3: Cross multiply
    437,642.12x = 656,499.90 × 122,102.84
  4. Step 4: Simplify right side
    437,642.12x = 80,160,502,249.72
  5. Step 5: Solve for x
    x = 80,160,502,249.72/437,642.12
  6. Step 6: Final answer
    x = 183,164.50

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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.