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Finding the Fourth Proportional to 500,770.76, 690,954.40 and 296,719.71

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Solution

The fourth proportional to 500,770.76, 690,954.40 and 296,719.71 is: 409,408.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,770.76 : 690,954.40 = 296,719.71 : x
  2. Step 2: Convert to fraction form
    500,770.76/690,954.40 = 296,719.71/x
  3. Step 3: Cross multiply
    500,770.76x = 690,954.40 × 296,719.71
  4. Step 4: Simplify right side
    500,770.76x = 205,019,786,971.05
  5. Step 5: Solve for x
    x = 205,019,786,971.05/500,770.76
  6. Step 6: Final answer
    x = 409,408.47

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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.