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Finding the Fourth Proportional to 308,282, 462,423.12 and 86,666

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Solution

The fourth proportional to 308,282, 462,423.12 and 86,666 is: 129,999.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,282 : 462,423.12 = 86,666 : x
  2. Step 2: Convert to fraction form
    308,282/462,423.12 = 86,666/x
  3. Step 3: Cross multiply
    308,282x = 462,423.12 × 86,666
  4. Step 4: Simplify right side
    308,282x = 40,076,362,117.92
  5. Step 5: Solve for x
    x = 40,076,362,117.92/308,282
  6. Step 6: Final answer
    x = 129,999.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.