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Finding the Fourth Proportional to 567,181.71, 782,727.44 and 312,549.30

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Solution

The fourth proportional to 567,181.71, 782,727.44 and 312,549.30 is: 431,327.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,181.71 : 782,727.44 = 312,549.30 : x
  2. Step 2: Convert to fraction form
    567,181.71/782,727.44 = 312,549.30/x
  3. Step 3: Cross multiply
    567,181.71x = 782,727.44 × 312,549.30
  4. Step 4: Simplify right side
    567,181.71x = 244,640,911,900.05
  5. Step 5: Solve for x
    x = 244,640,911,900.05/567,181.71
  6. Step 6: Final answer
    x = 431,327.22

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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.