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Finding the Fourth Proportional to 356,838.30, 492,179.76 and 229,392.09

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Solution

The fourth proportional to 356,838.30, 492,179.76 and 229,392.09 is: 316,395.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,838.30 : 492,179.76 = 229,392.09 : x
  2. Step 2: Convert to fraction form
    356,838.30/492,179.76 = 229,392.09/x
  3. Step 3: Cross multiply
    356,838.30x = 492,179.76 × 229,392.09
  4. Step 4: Simplify right side
    356,838.30x = 112,902,143,802.10
  5. Step 5: Solve for x
    x = 112,902,143,802.10/356,838.30
  6. Step 6: Final answer
    x = 316,395.81

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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.