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Finding the Fourth Proportional to 805,673.79, 1,208,420.37 and 206,648.96

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Solution

The fourth proportional to 805,673.79, 1,208,420.37 and 206,648.96 is: 309,950.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,673.79 : 1,208,420.37 = 206,648.96 : x
  2. Step 2: Convert to fraction form
    805,673.79/1,208,420.37 = 206,648.96/x
  3. Step 3: Cross multiply
    805,673.79x = 1,208,420.37 × 206,648.96
  4. Step 4: Simplify right side
    805,673.79x = 249,718,806,661.21
  5. Step 5: Solve for x
    x = 249,718,806,661.21/805,673.79
  6. Step 6: Final answer
    x = 309,950.27

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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.