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Finding the Fourth Proportional to 922,109.82, 1,382,832 and 389,671.98

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Solution

The fourth proportional to 922,109.82, 1,382,832 and 389,671.98 is: 584,367.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,109.82 : 1,382,832 = 389,671.98 : x
  2. Step 2: Convert to fraction form
    922,109.82/1,382,832 = 389,671.98/x
  3. Step 3: Cross multiply
    922,109.82x = 1,382,832 × 389,671.98
  4. Step 4: Simplify right side
    922,109.82x = 538,850,883,447.36
  5. Step 5: Solve for x
    x = 538,850,883,447.36/922,109.82
  6. Step 6: Final answer
    x = 584,367.36

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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.