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Finding the Fourth Proportional to 308,243, 462,364.50 and 86,627

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Solution

The fourth proportional to 308,243, 462,364.50 and 86,627 is: 129,940.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,243 : 462,364.50 = 86,627 : x
  2. Step 2: Convert to fraction form
    308,243/462,364.50 = 86,627/x
  3. Step 3: Cross multiply
    308,243x = 462,364.50 × 86,627
  4. Step 4: Simplify right side
    308,243x = 40,053,249,541.50
  5. Step 5: Solve for x
    x = 40,053,249,541.50/308,243
  6. Step 6: Final answer
    x = 129,940.50

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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.