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Finding the Fourth Proportional to 229,482, 316,685.28 and 128,880

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Solution

The fourth proportional to 229,482, 316,685.28 and 128,880 is: 177,854.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,482 : 316,685.28 = 128,880 : x
  2. Step 2: Convert to fraction form
    229,482/316,685.28 = 128,880/x
  3. Step 3: Cross multiply
    229,482x = 316,685.28 × 128,880
  4. Step 4: Simplify right side
    229,482x = 40,814,398,886.40
  5. Step 5: Solve for x
    x = 40,814,398,886.40/229,482
  6. Step 6: Final answer
    x = 177,854.47

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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.