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Finding the Fourth Proportional to 675,487.76, 1,012,857.24 and 276,408.32

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Solution

The fourth proportional to 675,487.76, 1,012,857.24 and 276,408.32 is: 414,459.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,487.76 : 1,012,857.24 = 276,408.32 : x
  2. Step 2: Convert to fraction form
    675,487.76/1,012,857.24 = 276,408.32/x
  3. Step 3: Cross multiply
    675,487.76x = 1,012,857.24 × 276,408.32
  4. Step 4: Simplify right side
    675,487.76x = 279,962,168,108.24
  5. Step 5: Solve for x
    x = 279,962,168,108.24/675,487.76
  6. Step 6: Final answer
    x = 414,459.28

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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.