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Finding the Fourth Proportional to 500,538.39, 690,792.50 and 285,710.74

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Solution

The fourth proportional to 500,538.39, 690,792.50 and 285,710.74 is: 394,309.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,538.39 : 690,792.50 = 285,710.74 : x
  2. Step 2: Convert to fraction form
    500,538.39/690,792.50 = 285,710.74/x
  3. Step 3: Cross multiply
    500,538.39x = 690,792.50 × 285,710.74
  4. Step 4: Simplify right side
    500,538.39x = 197,366,839,234.45
  5. Step 5: Solve for x
    x = 197,366,839,234.45/500,538.39
  6. Step 6: Final answer
    x = 394,309.10

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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.