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Finding the Fourth Proportional to 216,488.31, 298,559.74 and 180,309.87

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Solution

The fourth proportional to 216,488.31, 298,559.74 and 180,309.87 is: 248,665.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,488.31 : 298,559.74 = 180,309.87 : x
  2. Step 2: Convert to fraction form
    216,488.31/298,559.74 = 180,309.87/x
  3. Step 3: Cross multiply
    216,488.31x = 298,559.74 × 180,309.87
  4. Step 4: Simplify right side
    216,488.31x = 53,833,267,906.63
  5. Step 5: Solve for x
    x = 53,833,267,906.63/216,488.31
  6. Step 6: Final answer
    x = 248,665.93

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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.