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Finding the Fourth Proportional to 567,181.50, 782,726.94 and 312,549.12

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Solution

The fourth proportional to 567,181.50, 782,726.94 and 312,549.12 is: 431,326.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,181.50 : 782,726.94 = 312,549.12 : x
  2. Step 2: Convert to fraction form
    567,181.50/782,726.94 = 312,549.12/x
  3. Step 3: Cross multiply
    567,181.50x = 782,726.94 × 312,549.12
  4. Step 4: Simplify right side
    567,181.50x = 244,640,616,297.29
  5. Step 5: Solve for x
    x = 244,640,616,297.29/567,181.50
  6. Step 6: Final answer
    x = 431,326.86

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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.