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Finding the Fourth Proportional to 389,664.34, 584,389.30 and 133,493.14

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Solution

The fourth proportional to 389,664.34, 584,389.30 and 133,493.14 is: 200,202.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,664.34 : 584,389.30 = 133,493.14 : x
  2. Step 2: Convert to fraction form
    389,664.34/584,389.30 = 133,493.14/x
  3. Step 3: Cross multiply
    389,664.34x = 584,389.30 × 133,493.14
  4. Step 4: Simplify right side
    389,664.34x = 78,011,962,639.40
  5. Step 5: Solve for x
    x = 78,011,962,639.40/389,664.34
  6. Step 6: Final answer
    x = 200,202.98

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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.