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Finding the Fourth Proportional to 279,288, 385,443.36 and 160,056

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Solution

The fourth proportional to 279,288, 385,443.36 and 160,056 is: 220,892.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,288 : 385,443.36 = 160,056 : x
  2. Step 2: Convert to fraction form
    279,288/385,443.36 = 160,056/x
  3. Step 3: Cross multiply
    279,288x = 385,443.36 × 160,056
  4. Step 4: Simplify right side
    279,288x = 61,692,522,428.16
  5. Step 5: Solve for x
    x = 61,692,522,428.16/279,288
  6. Step 6: Final answer
    x = 220,892.13

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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.