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Finding the Fourth Proportional to 216,463.60, 298,526.38 and 135,898.64

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Solution

The fourth proportional to 216,463.60, 298,526.38 and 135,898.64 is: 187,418.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,463.60 : 298,526.38 = 135,898.64 : x
  2. Step 2: Convert to fraction form
    216,463.60/298,526.38 = 135,898.64/x
  3. Step 3: Cross multiply
    216,463.60x = 298,526.38 × 135,898.64
  4. Step 4: Simplify right side
    216,463.60x = 40,569,329,046.12
  5. Step 5: Solve for x
    x = 40,569,329,046.12/216,463.60
  6. Step 6: Final answer
    x = 187,418.71

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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.