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Finding the Fourth Proportional to 431,384.94, 595,355.70 and 259,359.12

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Solution

The fourth proportional to 431,384.94, 595,355.70 and 259,359.12 is: 357,942.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,384.94 : 595,355.70 = 259,359.12 : x
  2. Step 2: Convert to fraction form
    431,384.94/595,355.70 = 259,359.12/x
  3. Step 3: Cross multiply
    431,384.94x = 595,355.70 × 259,359.12
  4. Step 4: Simplify right side
    431,384.94x = 154,410,930,438.98
  5. Step 5: Solve for x
    x = 154,410,930,438.98/431,384.94
  6. Step 6: Final answer
    x = 357,942.33

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1.5x scale

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.