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Finding the Fourth Proportional to 216,865.60, 325,298.40 and 161,569.60

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Solution

The fourth proportional to 216,865.60, 325,298.40 and 161,569.60 is: 242,354.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,865.60 : 325,298.40 = 161,569.60 : x
  2. Step 2: Convert to fraction form
    216,865.60/325,298.40 = 161,569.60/x
  3. Step 3: Cross multiply
    216,865.60x = 325,298.40 × 161,569.60
  4. Step 4: Simplify right side
    216,865.60x = 52,558,332,368.64
  5. Step 5: Solve for x
    x = 52,558,332,368.64/216,865.60
  6. Step 6: Final answer
    x = 242,354.40

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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.