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Finding the Fourth Proportional to 229,284, 316,411.92 and 128,682

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Solution

The fourth proportional to 229,284, 316,411.92 and 128,682 is: 177,581.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,284 : 316,411.92 = 128,682 : x
  2. Step 2: Convert to fraction form
    229,284/316,411.92 = 128,682/x
  3. Step 3: Cross multiply
    229,284x = 316,411.92 × 128,682
  4. Step 4: Simplify right side
    229,284x = 40,716,518,689.44
  5. Step 5: Solve for x
    x = 40,716,518,689.44/229,284
  6. Step 6: Final answer
    x = 177,581.16

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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.