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Finding the Fourth Proportional to 270,886.38, 406,333.56 and 128,746.16

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Solution

The fourth proportional to 270,886.38, 406,333.56 and 128,746.16 is: 193,121.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,886.38 : 406,333.56 = 128,746.16 : x
  2. Step 2: Convert to fraction form
    270,886.38/406,333.56 = 128,746.16/x
  3. Step 3: Cross multiply
    270,886.38x = 406,333.56 × 128,746.16
  4. Step 4: Simplify right side
    270,886.38x = 52,313,885,504.01
  5. Step 5: Solve for x
    x = 52,313,885,504.01/270,886.38
  6. Step 6: Final answer
    x = 193,121.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.