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Finding the Fourth Proportional to 643,902.72, 965,543 and 377,749.68

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Solution

The fourth proportional to 643,902.72, 965,543 and 377,749.68 is: 566,442.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,902.72 : 965,543 = 377,749.68 : x
  2. Step 2: Convert to fraction form
    643,902.72/965,543 = 377,749.68/x
  3. Step 3: Cross multiply
    643,902.72x = 965,543 × 377,749.68
  4. Step 4: Simplify right side
    643,902.72x = 364,733,559,276.24
  5. Step 5: Solve for x
    x = 364,733,559,276.24/643,902.72
  6. Step 6: Final answer
    x = 566,442.02

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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.