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Finding the Fourth Proportional to 342,455.82, 513,668.96 and 89,730.76

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Solution

The fourth proportional to 342,455.82, 513,668.96 and 89,730.76 is: 134,592.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,455.82 : 513,668.96 = 89,730.76 : x
  2. Step 2: Convert to fraction form
    342,455.82/513,668.96 = 89,730.76/x
  3. Step 3: Cross multiply
    342,455.82x = 513,668.96 × 89,730.76
  4. Step 4: Simplify right side
    342,455.82x = 46,091,906,169.21
  5. Step 5: Solve for x
    x = 46,091,906,169.21/342,455.82
  6. Step 6: Final answer
    x = 134,592.27

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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.