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Finding the Fourth Proportional to 500,409.28, 690,393.32 and 285,394.72

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Solution

The fourth proportional to 500,409.28, 690,393.32 and 285,394.72 is: 393,746.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,409.28 : 690,393.32 = 285,394.72 : x
  2. Step 2: Convert to fraction form
    500,409.28/690,393.32 = 285,394.72/x
  3. Step 3: Cross multiply
    500,409.28x = 690,393.32 × 285,394.72
  4. Step 4: Simplify right side
    500,409.28x = 197,034,608,251.27
  5. Step 5: Solve for x
    x = 197,034,608,251.27/500,409.28
  6. Step 6: Final answer
    x = 393,746.91

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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.