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Finding the Fourth Proportional to 471,809.20, 651,150.48 and 280,823.20

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Solution

The fourth proportional to 471,809.20, 651,150.48 and 280,823.20 is: 387,568.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,809.20 : 651,150.48 = 280,823.20 : x
  2. Step 2: Convert to fraction form
    471,809.20/651,150.48 = 280,823.20/x
  3. Step 3: Cross multiply
    471,809.20x = 651,150.48 × 280,823.20
  4. Step 4: Simplify right side
    471,809.20x = 182,858,161,475.14
  5. Step 5: Solve for x
    x = 182,858,161,475.14/471,809.20
  6. Step 6: Final answer
    x = 387,568.03

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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.