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Finding the Fourth Proportional to 379,903.14, 570,051.51 and 192,914.64

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Solution

The fourth proportional to 379,903.14, 570,051.51 and 192,914.64 is: 289,471.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,903.14 : 570,051.51 = 192,914.64 : x
  2. Step 2: Convert to fraction form
    379,903.14/570,051.51 = 192,914.64/x
  3. Step 3: Cross multiply
    379,903.14x = 570,051.51 × 192,914.64
  4. Step 4: Simplify right side
    379,903.14x = 109,971,281,833.11
  5. Step 5: Solve for x
    x = 109,971,281,833.11/379,903.14
  6. Step 6: Final answer
    x = 289,471.89

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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.