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Finding the Fourth Proportional to 279,971.40, 419,957.10 and 159,905.10

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Solution

The fourth proportional to 279,971.40, 419,957.10 and 159,905.10 is: 239,857.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,971.40 : 419,957.10 = 159,905.10 : x
  2. Step 2: Convert to fraction form
    279,971.40/419,957.10 = 159,905.10/x
  3. Step 3: Cross multiply
    279,971.40x = 419,957.10 × 159,905.10
  4. Step 4: Simplify right side
    279,971.40x = 67,153,282,071.21
  5. Step 5: Solve for x
    x = 67,153,282,071.21/279,971.40
  6. Step 6: Final answer
    x = 239,857.65

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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.