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Finding the Fourth Proportional to 500,229.50, 690,382.59 and 285,320.30

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Solution

The fourth proportional to 500,229.50, 690,382.59 and 285,320.30 is: 393,779.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,229.50 : 690,382.59 = 285,320.30 : x
  2. Step 2: Convert to fraction form
    500,229.50/690,382.59 = 285,320.30/x
  3. Step 3: Cross multiply
    500,229.50x = 690,382.59 × 285,320.30
  4. Step 4: Simplify right side
    500,229.50x = 196,980,167,693.58
  5. Step 5: Solve for x
    x = 196,980,167,693.58/500,229.50
  6. Step 6: Final answer
    x = 393,779.59

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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.