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Finding the Fourth Proportional to 409,324.86, 612,853.70 and 209,214.36

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Solution

The fourth proportional to 409,324.86, 612,853.70 and 209,214.36 is: 313,242.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,324.86 : 612,853.70 = 209,214.36 : x
  2. Step 2: Convert to fraction form
    409,324.86/612,853.70 = 209,214.36/x
  3. Step 3: Cross multiply
    409,324.86x = 612,853.70 × 209,214.36
  4. Step 4: Simplify right side
    409,324.86x = 128,217,793,573.06
  5. Step 5: Solve for x
    x = 128,217,793,573.06/409,324.86
  6. Step 6: Final answer
    x = 313,242.14

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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.