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Finding the Fourth Proportional to 509,005.25, 763,246.25 and 269,248.09

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Solution

The fourth proportional to 509,005.25, 763,246.25 and 269,248.09 is: 403,733.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,005.25 : 763,246.25 = 269,248.09 : x
  2. Step 2: Convert to fraction form
    509,005.25/763,246.25 = 269,248.09/x
  3. Step 3: Cross multiply
    509,005.25x = 763,246.25 × 269,248.09
  4. Step 4: Simplify right side
    509,005.25x = 205,502,592,767.49
  5. Step 5: Solve for x
    x = 205,502,592,767.49/509,005.25
  6. Step 6: Final answer
    x = 403,733.74

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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.