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Finding the Fourth Proportional to 500,195.94, 690,012.09 and 338,995.86

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Solution

The fourth proportional to 500,195.94, 690,012.09 and 338,995.86 is: 467,639.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,195.94 : 690,012.09 = 338,995.86 : x
  2. Step 2: Convert to fraction form
    500,195.94/690,012.09 = 338,995.86/x
  3. Step 3: Cross multiply
    500,195.94x = 690,012.09 × 338,995.86
  4. Step 4: Simplify right side
    500,195.94x = 233,911,241,859.95
  5. Step 5: Solve for x
    x = 233,911,241,859.95/500,195.94
  6. Step 6: Final answer
    x = 467,639.23

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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.