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Finding the Fourth Proportional to 229,297, 316,429.86 and 128,695

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Solution

The fourth proportional to 229,297, 316,429.86 and 128,695 is: 177,599.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,297 : 316,429.86 = 128,695 : x
  2. Step 2: Convert to fraction form
    229,297/316,429.86 = 128,695/x
  3. Step 3: Cross multiply
    229,297x = 316,429.86 × 128,695
  4. Step 4: Simplify right side
    229,297x = 40,722,940,832.70
  5. Step 5: Solve for x
    x = 40,722,940,832.70/229,297
  6. Step 6: Final answer
    x = 177,599.10

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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.