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Finding the Fourth Proportional to 531,856.04, 733,960.32 and 290,138.54

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Solution

The fourth proportional to 531,856.04, 733,960.32 and 290,138.54 is: 400,390.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,856.04 : 733,960.32 = 290,138.54 : x
  2. Step 2: Convert to fraction form
    531,856.04/733,960.32 = 290,138.54/x
  3. Step 3: Cross multiply
    531,856.04x = 733,960.32 × 290,138.54
  4. Step 4: Simplify right side
    531,856.04x = 212,950,175,662.73
  5. Step 5: Solve for x
    x = 212,950,175,662.73/531,856.04
  6. Step 6: Final answer
    x = 400,390.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.