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Finding the Fourth Proportional to 279,289, 385,444.74 and 160,057

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Solution

The fourth proportional to 279,289, 385,444.74 and 160,057 is: 220,893.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,289 : 385,444.74 = 160,057 : x
  2. Step 2: Convert to fraction form
    279,289/385,444.74 = 160,057/x
  3. Step 3: Cross multiply
    279,289x = 385,444.74 × 160,057
  4. Step 4: Simplify right side
    279,289x = 61,693,128,750.18
  5. Step 5: Solve for x
    x = 61,693,128,750.18/279,289
  6. Step 6: Final answer
    x = 220,893.51

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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.