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Finding the Fourth Proportional to 500,211.99, 690,228.27 and 285,339.24

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Solution

The fourth proportional to 500,211.99, 690,228.27 and 285,339.24 is: 393,731.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,211.99 : 690,228.27 = 285,339.24 : x
  2. Step 2: Convert to fraction form
    500,211.99/690,228.27 = 285,339.24/x
  3. Step 3: Cross multiply
    500,211.99x = 690,228.27 × 285,339.24
  4. Step 4: Simplify right side
    500,211.99x = 196,949,209,988.32
  5. Step 5: Solve for x
    x = 196,949,209,988.32/500,211.99
  6. Step 6: Final answer
    x = 393,731.49

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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.