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Finding the Fourth Proportional to 524,540.20, 786,809.76 and 209,218.54

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Solution

The fourth proportional to 524,540.20, 786,809.76 and 209,218.54 is: 313,827.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,540.20 : 786,809.76 = 209,218.54 : x
  2. Step 2: Convert to fraction form
    524,540.20/786,809.76 = 209,218.54/x
  3. Step 3: Cross multiply
    524,540.20x = 786,809.76 × 209,218.54
  4. Step 4: Simplify right side
    524,540.20x = 164,615,189,244.95
  5. Step 5: Solve for x
    x = 164,615,189,244.95/524,540.20
  6. Step 6: Final answer
    x = 313,827.59

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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.