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Finding the Fourth Proportional to 500,071, 690,097.98 and 273,716.50

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Solution

The fourth proportional to 500,071, 690,097.98 and 273,716.50 is: 377,728.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,071 : 690,097.98 = 273,716.50 : x
  2. Step 2: Convert to fraction form
    500,071/690,097.98 = 273,716.50/x
  3. Step 3: Cross multiply
    500,071x = 690,097.98 × 273,716.50
  4. Step 4: Simplify right side
    500,071x = 188,891,203,742.67
  5. Step 5: Solve for x
    x = 188,891,203,742.67/500,071
  6. Step 6: Final answer
    x = 377,728.77

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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.