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Finding the Fourth Proportional to 308,275.34, 462,443.77 and 83,639.48

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Solution

The fourth proportional to 308,275.34, 462,443.77 and 83,639.48 is: 125,467.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,275.34 : 462,443.77 = 83,639.48 : x
  2. Step 2: Convert to fraction form
    308,275.34/462,443.77 = 83,639.48/x
  3. Step 3: Cross multiply
    308,275.34x = 462,443.77 × 83,639.48
  4. Step 4: Simplify right side
    308,275.34x = 38,678,556,452.04
  5. Step 5: Solve for x
    x = 38,678,556,452.04/308,275.34
  6. Step 6: Final answer
    x = 125,467.57

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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.