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Finding the Fourth Proportional to 354,930.41, 531,856.91 and 260,223.63

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Solution

The fourth proportional to 354,930.41, 531,856.91 and 260,223.63 is: 389,940.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,930.41 : 531,856.91 = 260,223.63 : x
  2. Step 2: Convert to fraction form
    354,930.41/531,856.91 = 260,223.63/x
  3. Step 3: Cross multiply
    354,930.41x = 531,856.91 × 260,223.63
  4. Step 4: Simplify right side
    354,930.41x = 138,401,734,459.67
  5. Step 5: Solve for x
    x = 138,401,734,459.67/354,930.41
  6. Step 6: Final answer
    x = 389,940.49

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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.