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Finding the Fourth Proportional to 500,203.56, 690,346.65 and 285,294.36

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Solution

The fourth proportional to 500,203.56, 690,346.65 and 285,294.36 is: 393,743.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,203.56 : 690,346.65 = 285,294.36 : x
  2. Step 2: Convert to fraction form
    500,203.56/690,346.65 = 285,294.36/x
  3. Step 3: Cross multiply
    500,203.56x = 690,346.65 × 285,294.36
  4. Step 4: Simplify right side
    500,203.56x = 196,952,005,689.89
  5. Step 5: Solve for x
    x = 196,952,005,689.89/500,203.56
  6. Step 6: Final answer
    x = 393,743.71

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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.