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Finding the Fourth Proportional to 644,243.20, 965,443.20 and 474,438.40

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Solution

The fourth proportional to 644,243.20, 965,443.20 and 474,438.40 is: 710,978.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,243.20 : 965,443.20 = 474,438.40 : x
  2. Step 2: Convert to fraction form
    644,243.20/965,443.20 = 474,438.40/x
  3. Step 3: Cross multiply
    644,243.20x = 965,443.20 × 474,438.40
  4. Step 4: Simplify right side
    644,243.20x = 458,043,327,098.88
  5. Step 5: Solve for x
    x = 458,043,327,098.88/644,243.20
  6. Step 6: Final answer
    x = 710,978.91

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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.