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Finding the Fourth Proportional to 509,584.62, 703,184.98 and 299,999.25

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Solution

The fourth proportional to 509,584.62, 703,184.98 and 299,999.25 is: 413,974.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,584.62 : 703,184.98 = 299,999.25 : x
  2. Step 2: Convert to fraction form
    509,584.62/703,184.98 = 299,999.25/x
  3. Step 3: Cross multiply
    509,584.62x = 703,184.98 × 299,999.25
  4. Step 4: Simplify right side
    509,584.62x = 210,954,966,611.27
  5. Step 5: Solve for x
    x = 210,954,966,611.27/509,584.62
  6. Step 6: Final answer
    x = 413,974.36

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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.