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Finding the Fourth Proportional to 567,278.58, 782,840.49 and 312,630

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Solution

The fourth proportional to 567,278.58, 782,840.49 and 312,630 is: 431,427.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,278.58 : 782,840.49 = 312,630 : x
  2. Step 2: Convert to fraction form
    567,278.58/782,840.49 = 312,630/x
  3. Step 3: Cross multiply
    567,278.58x = 782,840.49 × 312,630
  4. Step 4: Simplify right side
    567,278.58x = 244,739,422,388.70
  5. Step 5: Solve for x
    x = 244,739,422,388.70/567,278.58
  6. Step 6: Final answer
    x = 431,427.22

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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.