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Finding the Fourth Proportional to 500,482.50, 690,665.94 and 274,136.10

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Solution

The fourth proportional to 500,482.50, 690,665.94 and 274,136.10 is: 378,307.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,482.50 : 690,665.94 = 274,136.10 : x
  2. Step 2: Convert to fraction form
    500,482.50/690,665.94 = 274,136.10/x
  3. Step 3: Cross multiply
    500,482.50x = 690,665.94 × 274,136.10
  4. Step 4: Simplify right side
    500,482.50x = 189,336,467,194.43
  5. Step 5: Solve for x
    x = 189,336,467,194.43/500,482.50
  6. Step 6: Final answer
    x = 378,307.87

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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.