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Finding the Fourth Proportional to 471,803.20, 651,142.20 and 280,817.20

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Solution

The fourth proportional to 471,803.20, 651,142.20 and 280,817.20 is: 387,559.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,803.20 : 651,142.20 = 280,817.20 : x
  2. Step 2: Convert to fraction form
    471,803.20/651,142.20 = 280,817.20/x
  3. Step 3: Cross multiply
    471,803.20x = 651,142.20 × 280,817.20
  4. Step 4: Simplify right side
    471,803.20x = 182,851,929,405.84
  5. Step 5: Solve for x
    x = 182,851,929,405.84/471,803.20
  6. Step 6: Final answer
    x = 387,559.75

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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.