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Finding the Fourth Proportional to 500,336.90, 690,464.01 and 270,894.16

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Solution

The fourth proportional to 500,336.90, 690,464.01 and 270,894.16 is: 373,833.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,336.90 : 690,464.01 = 270,894.16 : x
  2. Step 2: Convert to fraction form
    500,336.90/690,464.01 = 270,894.16/x
  3. Step 3: Cross multiply
    500,336.90x = 690,464.01 × 270,894.16
  4. Step 4: Simplify right side
    500,336.90x = 187,042,664,470.48
  5. Step 5: Solve for x
    x = 187,042,664,470.48/500,336.90
  6. Step 6: Final answer
    x = 373,833.44

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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.