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Finding the Fourth Proportional to 500,253.60, 690,418.81 and 306,777

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Solution

The fourth proportional to 500,253.60, 690,418.81 and 306,777 is: 423,394.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,253.60 : 690,418.81 = 306,777 : x
  2. Step 2: Convert to fraction form
    500,253.60/690,418.81 = 306,777/x
  3. Step 3: Cross multiply
    500,253.60x = 690,418.81 × 306,777
  4. Step 4: Simplify right side
    500,253.60x = 211,804,611,275.37
  5. Step 5: Solve for x
    x = 211,804,611,275.37/500,253.60
  6. Step 6: Final answer
    x = 423,394.48

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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.