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Finding the Fourth Proportional to 389,423.40, 584,135.10 and 164,709.15

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Solution

The fourth proportional to 389,423.40, 584,135.10 and 164,709.15 is: 247,063.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,423.40 : 584,135.10 = 164,709.15 : x
  2. Step 2: Convert to fraction form
    389,423.40/584,135.10 = 164,709.15/x
  3. Step 3: Cross multiply
    389,423.40x = 584,135.10 × 164,709.15
  4. Step 4: Simplify right side
    389,423.40x = 96,212,395,806.17
  5. Step 5: Solve for x
    x = 96,212,395,806.17/389,423.40
  6. Step 6: Final answer
    x = 247,063.73

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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.