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Finding the Fourth Proportional to 333,315, 499,972.50 and 83,997

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Solution

The fourth proportional to 333,315, 499,972.50 and 83,997 is: 125,995.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,315 : 499,972.50 = 83,997 : x
  2. Step 2: Convert to fraction form
    333,315/499,972.50 = 83,997/x
  3. Step 3: Cross multiply
    333,315x = 499,972.50 × 83,997
  4. Step 4: Simplify right side
    333,315x = 41,996,190,082.50
  5. Step 5: Solve for x
    x = 41,996,190,082.50/333,315
  6. Step 6: Final answer
    x = 125,995.50

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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.