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Finding the Fourth Proportional to 308,274, 462,411 and 86,658

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Solution

The fourth proportional to 308,274, 462,411 and 86,658 is: 129,987

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,274 : 462,411 = 86,658 : x
  2. Step 2: Convert to fraction form
    308,274/462,411 = 86,658/x
  3. Step 3: Cross multiply
    308,274x = 462,411 × 86,658
  4. Step 4: Simplify right side
    308,274x = 40,071,612,438
  5. Step 5: Solve for x
    x = 40,071,612,438/308,274
  6. Step 6: Final answer
    x = 129,987

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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.