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Finding the Fourth Proportional to 389,745.64, 538,365.36 and 313,551.71

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Solution

The fourth proportional to 389,745.64, 538,365.36 and 313,551.71 is: 433,116.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,745.64 : 538,365.36 = 313,551.71 : x
  2. Step 2: Convert to fraction form
    389,745.64/538,365.36 = 313,551.71/x
  3. Step 3: Cross multiply
    389,745.64x = 538,365.36 × 313,551.71
  4. Step 4: Simplify right side
    389,745.64x = 168,805,379,232.77
  5. Step 5: Solve for x
    x = 168,805,379,232.77/389,745.64
  6. Step 6: Final answer
    x = 433,116.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.