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Finding the Fourth Proportional to 314,115.97, 470,901.79 and 127,005.97

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Solution

The fourth proportional to 314,115.97, 470,901.79 and 127,005.97 is: 190,398.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,115.97 : 470,901.79 = 127,005.97 : x
  2. Step 2: Convert to fraction form
    314,115.97/470,901.79 = 127,005.97/x
  3. Step 3: Cross multiply
    314,115.97x = 470,901.79 × 127,005.97
  4. Step 4: Simplify right side
    314,115.97x = 59,807,338,613.69
  5. Step 5: Solve for x
    x = 59,807,338,613.69/314,115.97
  6. Step 6: Final answer
    x = 190,398.91

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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.