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Finding the Fourth Proportional to 500,072.70, 690,094.71 and 273,715.50

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Solution

The fourth proportional to 500,072.70, 690,094.71 and 273,715.50 is: 377,724.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,072.70 : 690,094.71 = 273,715.50 : x
  2. Step 2: Convert to fraction form
    500,072.70/690,094.71 = 273,715.50/x
  3. Step 3: Cross multiply
    500,072.70x = 690,094.71 × 273,715.50
  4. Step 4: Simplify right side
    500,072.70x = 188,889,618,595.01
  5. Step 5: Solve for x
    x = 188,889,618,595.01/500,072.70
  6. Step 6: Final answer
    x = 377,724.32

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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.