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Finding the Fourth Proportional to 378,538.75, 567,808.13 and 98,056

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Solution

The fourth proportional to 378,538.75, 567,808.13 and 98,056 is: 147,084.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,538.75 : 567,808.13 = 98,056 : x
  2. Step 2: Convert to fraction form
    378,538.75/567,808.13 = 98,056/x
  3. Step 3: Cross multiply
    378,538.75x = 567,808.13 × 98,056
  4. Step 4: Simplify right side
    378,538.75x = 55,676,993,995.28
  5. Step 5: Solve for x
    x = 55,676,993,995.28/378,538.75
  6. Step 6: Final answer
    x = 147,084.00

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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.