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Finding the Fourth Proportional to 437,561.70, 656,342.55 and 259,977.30

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Solution

The fourth proportional to 437,561.70, 656,342.55 and 259,977.30 is: 389,965.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,561.70 : 656,342.55 = 259,977.30 : x
  2. Step 2: Convert to fraction form
    437,561.70/656,342.55 = 259,977.30/x
  3. Step 3: Cross multiply
    437,561.70x = 656,342.55 × 259,977.30
  4. Step 4: Simplify right side
    437,561.70x = 170,634,164,024.12
  5. Step 5: Solve for x
    x = 170,634,164,024.12/437,561.70
  6. Step 6: Final answer
    x = 389,965.95

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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.