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Finding the Fourth Proportional to 308,265, 462,397.50 and 86,649

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Solution

The fourth proportional to 308,265, 462,397.50 and 86,649 is: 129,973.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,265 : 462,397.50 = 86,649 : x
  2. Step 2: Convert to fraction form
    308,265/462,397.50 = 86,649/x
  3. Step 3: Cross multiply
    308,265x = 462,397.50 × 86,649
  4. Step 4: Simplify right side
    308,265x = 40,066,280,977.50
  5. Step 5: Solve for x
    x = 40,066,280,977.50/308,265
  6. Step 6: Final answer
    x = 129,973.50

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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.