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Finding the Fourth Proportional to 270,946.72, 406,672.28 and 137,926.54

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Solution

The fourth proportional to 270,946.72, 406,672.28 and 137,926.54 is: 207,018.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,946.72 : 406,672.28 = 137,926.54 : x
  2. Step 2: Convert to fraction form
    270,946.72/406,672.28 = 137,926.54/x
  3. Step 3: Cross multiply
    270,946.72x = 406,672.28 × 137,926.54
  4. Step 4: Simplify right side
    270,946.72x = 56,090,897,771.32
  5. Step 5: Solve for x
    x = 56,090,897,771.32/270,946.72
  6. Step 6: Final answer
    x = 207,018.19

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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.