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Finding the Fourth Proportional to 389,616.40, 584,424.60 and 164,902.15

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Solution

The fourth proportional to 389,616.40, 584,424.60 and 164,902.15 is: 247,353.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,616.40 : 584,424.60 = 164,902.15 : x
  2. Step 2: Convert to fraction form
    389,616.40/584,424.60 = 164,902.15/x
  3. Step 3: Cross multiply
    389,616.40x = 584,424.60 × 164,902.15
  4. Step 4: Simplify right side
    389,616.40x = 96,372,873,052.89
  5. Step 5: Solve for x
    x = 96,372,873,052.89/389,616.40
  6. Step 6: Final answer
    x = 247,353.23

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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.