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Finding the Fourth Proportional to 644,663.66, 965,666.74 and 377,614.56

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Solution

The fourth proportional to 644,663.66, 965,666.74 and 377,614.56 is: 565,643.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,663.66 : 965,666.74 = 377,614.56 : x
  2. Step 2: Convert to fraction form
    644,663.66/965,666.74 = 377,614.56/x
  3. Step 3: Cross multiply
    644,663.66x = 965,666.74 × 377,614.56
  4. Step 4: Simplify right side
    644,663.66x = 364,649,818,023.06
  5. Step 5: Solve for x
    x = 364,649,818,023.06/644,663.66
  6. Step 6: Final answer
    x = 565,643.51

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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.