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Finding the Fourth Proportional to 509,016.57, 763,263.68 and 269,259.88

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Solution

The fourth proportional to 509,016.57, 763,263.68 and 269,259.88 is: 403,751.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,016.57 : 763,263.68 = 269,259.88 : x
  2. Step 2: Convert to fraction form
    509,016.57/763,263.68 = 269,259.88/x
  3. Step 3: Cross multiply
    509,016.57x = 763,263.68 × 269,259.88
  4. Step 4: Simplify right side
    509,016.57x = 205,516,284,303.85
  5. Step 5: Solve for x
    x = 205,516,284,303.85/509,016.57
  6. Step 6: Final answer
    x = 403,751.66

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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.