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Finding the Fourth Proportional to 308,544.34, 462,337.80 and 213,959.02

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Solution

The fourth proportional to 308,544.34, 462,337.80 and 213,959.02 is: 320,606.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,544.34 : 462,337.80 = 213,959.02 : x
  2. Step 2: Convert to fraction form
    308,544.34/462,337.80 = 213,959.02/x
  3. Step 3: Cross multiply
    308,544.34x = 462,337.80 × 213,959.02
  4. Step 4: Simplify right side
    308,544.34x = 98,921,342,596.96
  5. Step 5: Solve for x
    x = 98,921,342,596.96/308,544.34
  6. Step 6: Final answer
    x = 320,606.57

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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.