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Finding the Fourth Proportional to 401,254.20, 601,826.22 and 280,946.52

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Solution

The fourth proportional to 401,254.20, 601,826.22 and 280,946.52 is: 421,381.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,254.20 : 601,826.22 = 280,946.52 : x
  2. Step 2: Convert to fraction form
    401,254.20/601,826.22 = 280,946.52/x
  3. Step 3: Cross multiply
    401,254.20x = 601,826.22 × 280,946.52
  4. Step 4: Simplify right side
    401,254.20x = 169,080,982,153.75
  5. Step 5: Solve for x
    x = 169,080,982,153.75/401,254.20
  6. Step 6: Final answer
    x = 421,381.21

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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.