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Finding the Fourth Proportional to 389,671.14, 584,675.09 and 209,546.03

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Solution

The fourth proportional to 389,671.14, 584,675.09 and 209,546.03 is: 314,409.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,671.14 : 584,675.09 = 209,546.03 : x
  2. Step 2: Convert to fraction form
    389,671.14/584,675.09 = 209,546.03/x
  3. Step 3: Cross multiply
    389,671.14x = 584,675.09 × 209,546.03
  4. Step 4: Simplify right side
    389,671.14x = 122,516,345,934.95
  5. Step 5: Solve for x
    x = 122,516,345,934.95/389,671.14
  6. Step 6: Final answer
    x = 314,409.60

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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.