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Finding the Fourth Proportional to 471,270, 650,347.56 and 280,279.20

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Solution

The fourth proportional to 471,270, 650,347.56 and 280,279.20 is: 386,782.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,270 : 650,347.56 = 280,279.20 : x
  2. Step 2: Convert to fraction form
    471,270/650,347.56 = 280,279.20/x
  3. Step 3: Cross multiply
    471,270x = 650,347.56 × 280,279.20
  4. Step 4: Simplify right side
    471,270x = 182,278,893,838.75
  5. Step 5: Solve for x
    x = 182,278,893,838.75/471,270
  6. Step 6: Final answer
    x = 386,782.30

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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.