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Finding the Fourth Proportional to 243,390.96, 364,710.14 and 189,956.24

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Solution

The fourth proportional to 243,390.96, 364,710.14 and 189,956.24 is: 284,640.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,390.96 : 364,710.14 = 189,956.24 : x
  2. Step 2: Convert to fraction form
    243,390.96/364,710.14 = 189,956.24/x
  3. Step 3: Cross multiply
    243,390.96x = 364,710.14 × 189,956.24
  4. Step 4: Simplify right side
    243,390.96x = 69,278,966,884.27
  5. Step 5: Solve for x
    x = 69,278,966,884.27/243,390.96
  6. Step 6: Final answer
    x = 284,640.67

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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.