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Finding the Fourth Proportional to 500,199.06, 690,340.42 and 285,289.86

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Solution

The fourth proportional to 500,199.06, 690,340.42 and 285,289.86 is: 393,737.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,199.06 : 690,340.42 = 285,289.86 : x
  2. Step 2: Convert to fraction form
    500,199.06/690,340.42 = 285,289.86/x
  3. Step 3: Cross multiply
    500,199.06x = 690,340.42 × 285,289.86
  4. Step 4: Simplify right side
    500,199.06x = 196,947,121,774.14
  5. Step 5: Solve for x
    x = 196,947,121,774.14/500,199.06
  6. Step 6: Final answer
    x = 393,737.49

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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.