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Finding the Fourth Proportional to 500,338.16, 690,453.16 and 285,474.32

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Solution

The fourth proportional to 500,338.16, 690,453.16 and 285,474.32 is: 393,946.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,338.16 : 690,453.16 = 285,474.32 : x
  2. Step 2: Convert to fraction form
    500,338.16/690,453.16 = 285,474.32/x
  3. Step 3: Cross multiply
    500,338.16x = 690,453.16 × 285,474.32
  4. Step 4: Simplify right side
    500,338.16x = 197,106,646,342.85
  5. Step 5: Solve for x
    x = 197,106,646,342.85/500,338.16
  6. Step 6: Final answer
    x = 393,946.86

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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.