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Finding the Fourth Proportional to 500,716.50, 690,988.77 and 299,512.50

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Solution

The fourth proportional to 500,716.50, 690,988.77 and 299,512.50 is: 413,327.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,716.50 : 690,988.77 = 299,512.50 : x
  2. Step 2: Convert to fraction form
    500,716.50/690,988.77 = 299,512.50/x
  3. Step 3: Cross multiply
    500,716.50x = 690,988.77 × 299,512.50
  4. Step 4: Simplify right side
    500,716.50x = 206,959,773,974.63
  5. Step 5: Solve for x
    x = 206,959,773,974.63/500,716.50
  6. Step 6: Final answer
    x = 413,327.25

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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.