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Finding the Fourth Proportional to 308,403.84, 462,564.80 and 86,805.12

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Solution

The fourth proportional to 308,403.84, 462,564.80 and 86,805.12 is: 130,196.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,403.84 : 462,564.80 = 86,805.12 : x
  2. Step 2: Convert to fraction form
    308,403.84/462,564.80 = 86,805.12/x
  3. Step 3: Cross multiply
    308,403.84x = 462,564.80 × 86,805.12
  4. Step 4: Simplify right side
    308,403.84x = 40,152,992,971.78
  5. Step 5: Solve for x
    x = 40,152,992,971.78/308,403.84
  6. Step 6: Final answer
    x = 130,196.15

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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.