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Finding the Fourth Proportional to 499,205.82, 688,902.36 and 272,850.78

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Solution

The fourth proportional to 499,205.82, 688,902.36 and 272,850.78 is: 376,533.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,205.82 : 688,902.36 = 272,850.78 : x
  2. Step 2: Convert to fraction form
    499,205.82/688,902.36 = 272,850.78/x
  3. Step 3: Cross multiply
    499,205.82x = 688,902.36 × 272,850.78
  4. Step 4: Simplify right side
    499,205.82x = 187,967,546,269.84
  5. Step 5: Solve for x
    x = 187,967,546,269.84/499,205.82
  6. Step 6: Final answer
    x = 376,533.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.