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Finding the Fourth Proportional to 500,659.64, 690,911.82 and 271,219.28

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Solution

The fourth proportional to 500,659.64, 690,911.82 and 271,219.28 is: 374,283.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,659.64 : 690,911.82 = 271,219.28 : x
  2. Step 2: Convert to fraction form
    500,659.64/690,911.82 = 271,219.28/x
  3. Step 3: Cross multiply
    500,659.64x = 690,911.82 × 271,219.28
  4. Step 4: Simplify right side
    500,659.64x = 187,388,606,363.89
  5. Step 5: Solve for x
    x = 187,388,606,363.89/500,659.64
  6. Step 6: Final answer
    x = 374,283.43

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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.