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Finding the Fourth Proportional to 229,384.51, 316,440.76 and 161,439.19

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Solution

The fourth proportional to 229,384.51, 316,440.76 and 161,439.19 is: 222,708.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,384.51 : 316,440.76 = 161,439.19 : x
  2. Step 2: Convert to fraction form
    229,384.51/316,440.76 = 161,439.19/x
  3. Step 3: Cross multiply
    229,384.51x = 316,440.76 × 161,439.19
  4. Step 4: Simplify right side
    229,384.51x = 51,085,939,977.38
  5. Step 5: Solve for x
    x = 51,085,939,977.38/229,384.51
  6. Step 6: Final answer
    x = 222,708.76

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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.