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Finding the Fourth Proportional to 389,969.40, 584,954.10 and 290,436.60

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Solution

The fourth proportional to 389,969.40, 584,954.10 and 290,436.60 is: 435,654.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,969.40 : 584,954.10 = 290,436.60 : x
  2. Step 2: Convert to fraction form
    389,969.40/584,954.10 = 290,436.60/x
  3. Step 3: Cross multiply
    389,969.40x = 584,954.10 × 290,436.60
  4. Step 4: Simplify right side
    389,969.40x = 169,892,079,960.06
  5. Step 5: Solve for x
    x = 169,892,079,960.06/389,969.40
  6. Step 6: Final answer
    x = 435,654.90

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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.