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Finding the Fourth Proportional to 381,709.69, 572,584.26 and 97,402.75

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Solution

The fourth proportional to 381,709.69, 572,584.26 and 97,402.75 is: 146,109.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,709.69 : 572,584.26 = 97,402.75 : x
  2. Step 2: Convert to fraction form
    381,709.69/572,584.26 = 97,402.75/x
  3. Step 3: Cross multiply
    381,709.69x = 572,584.26 × 97,402.75
  4. Step 4: Simplify right side
    381,709.69x = 55,771,281,530.72
  5. Step 5: Solve for x
    x = 55,771,281,530.72/381,709.69
  6. Step 6: Final answer
    x = 146,109.16

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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.