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Finding the Fourth Proportional to 389,580.20, 584,428.70 and 164,940.20

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Solution

The fourth proportional to 389,580.20, 584,428.70 and 164,940.20 is: 247,435.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,580.20 : 584,428.70 = 164,940.20 : x
  2. Step 2: Convert to fraction form
    389,580.20/584,428.70 = 164,940.20/x
  3. Step 3: Cross multiply
    389,580.20x = 584,428.70 × 164,940.20
  4. Step 4: Simplify right side
    389,580.20x = 96,395,786,663.74
  5. Step 5: Solve for x
    x = 96,395,786,663.74/389,580.20
  6. Step 6: Final answer
    x = 247,435.03

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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.