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Finding the Fourth Proportional to 419,715.87, 579,043.49 and 258,290.67

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Solution

The fourth proportional to 419,715.87, 579,043.49 and 258,290.67 is: 356,339.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,715.87 : 579,043.49 = 258,290.67 : x
  2. Step 2: Convert to fraction form
    419,715.87/579,043.49 = 258,290.67/x
  3. Step 3: Cross multiply
    419,715.87x = 579,043.49 × 258,290.67
  4. Step 4: Simplify right side
    419,715.87x = 149,561,529,699.79
  5. Step 5: Solve for x
    x = 149,561,529,699.79/419,715.87
  6. Step 6: Final answer
    x = 356,339.94

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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.