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Finding the Fourth Proportional to 284,156.70, 426,465.45 and 274,940.70

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Solution

The fourth proportional to 284,156.70, 426,465.45 and 274,940.70 is: 412,633.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,156.70 : 426,465.45 = 274,940.70 : x
  2. Step 2: Convert to fraction form
    284,156.70/426,465.45 = 274,940.70/x
  3. Step 3: Cross multiply
    284,156.70x = 426,465.45 × 274,940.70
  4. Step 4: Simplify right side
    284,156.70x = 117,252,709,348.82
  5. Step 5: Solve for x
    x = 117,252,709,348.82/284,156.70
  6. Step 6: Final answer
    x = 412,633.98

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1.5x scale

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.