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Finding the Fourth Proportional to 509,168.57, 763,460.15 and 209,855.75

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Solution

The fourth proportional to 509,168.57, 763,460.15 and 209,855.75 is: 314,662.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,168.57 : 763,460.15 = 209,855.75 : x
  2. Step 2: Convert to fraction form
    509,168.57/763,460.15 = 209,855.75/x
  3. Step 3: Cross multiply
    509,168.57x = 763,460.15 × 209,855.75
  4. Step 4: Simplify right side
    509,168.57x = 160,216,497,506.78
  5. Step 5: Solve for x
    x = 160,216,497,506.78/509,168.57
  6. Step 6: Final answer
    x = 314,662.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.