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Finding the Fourth Proportional to 810,408, 1,215,663.84 and 311,772

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Solution

The fourth proportional to 810,408, 1,215,663.84 and 311,772 is: 467,677.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,408 : 1,215,663.84 = 311,772 : x
  2. Step 2: Convert to fraction form
    810,408/1,215,663.84 = 311,772/x
  3. Step 3: Cross multiply
    810,408x = 1,215,663.84 × 311,772
  4. Step 4: Simplify right side
    810,408x = 379,009,946,724.48
  5. Step 5: Solve for x
    x = 379,009,946,724.48/810,408
  6. Step 6: Final answer
    x = 467,677.94

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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.