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Finding the Fourth Proportional to 644,365.80, 965,673.90 and 457,158.60

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Solution

The fourth proportional to 644,365.80, 965,673.90 and 457,158.60 is: 685,117.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,365.80 : 965,673.90 = 457,158.60 : x
  2. Step 2: Convert to fraction form
    644,365.80/965,673.90 = 457,158.60/x
  3. Step 3: Cross multiply
    644,365.80x = 965,673.90 × 457,158.60
  4. Step 4: Simplify right side
    644,365.80x = 441,466,128,180.54
  5. Step 5: Solve for x
    x = 441,466,128,180.54/644,365.80
  6. Step 6: Final answer
    x = 685,117.26

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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.