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Finding the Fourth Proportional to 308,654.52, 425,752.54 and 211,814.16

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Solution

The fourth proportional to 308,654.52, 425,752.54 and 211,814.16 is: 292,172.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,654.52 : 425,752.54 = 211,814.16 : x
  2. Step 2: Convert to fraction form
    308,654.52/425,752.54 = 211,814.16/x
  3. Step 3: Cross multiply
    308,654.52x = 425,752.54 × 211,814.16
  4. Step 4: Simplify right side
    308,654.52x = 90,180,416,627.97
  5. Step 5: Solve for x
    x = 90,180,416,627.97/308,654.52
  6. Step 6: Final answer
    x = 292,172.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.