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Finding the Fourth Proportional to 216,564.64, 324,944 and 137,658.40

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Solution

The fourth proportional to 216,564.64, 324,944 and 137,658.40 is: 206,549.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,564.64 : 324,944 = 137,658.40 : x
  2. Step 2: Convert to fraction form
    216,564.64/324,944 = 137,658.40/x
  3. Step 3: Cross multiply
    216,564.64x = 324,944 × 137,658.40
  4. Step 4: Simplify right side
    216,564.64x = 44,731,271,129.60
  5. Step 5: Solve for x
    x = 44,731,271,129.60/216,564.64
  6. Step 6: Final answer
    x = 206,549.28

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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.