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Finding the Fourth Proportional to 644,487.94, 965,259.26 and 307,764.46

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Solution

The fourth proportional to 644,487.94, 965,259.26 and 307,764.46 is: 460,943.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,487.94 : 965,259.26 = 307,764.46 : x
  2. Step 2: Convert to fraction form
    644,487.94/965,259.26 = 307,764.46/x
  3. Step 3: Cross multiply
    644,487.94x = 965,259.26 × 307,764.46
  4. Step 4: Simplify right side
    644,487.94x = 297,072,494,913.90
  5. Step 5: Solve for x
    x = 297,072,494,913.90/644,487.94
  6. Step 6: Final answer
    x = 460,943.45

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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.