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Finding the Fourth Proportional to 314,616.90, 471,743.09 and 214,897.60

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Solution

The fourth proportional to 314,616.90, 471,743.09 and 214,897.60 is: 322,221.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,616.90 : 471,743.09 = 214,897.60 : x
  2. Step 2: Convert to fraction form
    314,616.90/471,743.09 = 214,897.60/x
  3. Step 3: Cross multiply
    314,616.90x = 471,743.09 × 214,897.60
  4. Step 4: Simplify right side
    314,616.90x = 101,376,457,857.58
  5. Step 5: Solve for x
    x = 101,376,457,857.58/314,616.90
  6. Step 6: Final answer
    x = 322,221.91

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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.