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Finding the Fourth Proportional to 427,212.84, 640,820.88 and 401,231.28

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Solution

The fourth proportional to 427,212.84, 640,820.88 and 401,231.28 is: 601,848.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,212.84 : 640,820.88 = 401,231.28 : x
  2. Step 2: Convert to fraction form
    427,212.84/640,820.88 = 401,231.28/x
  3. Step 3: Cross multiply
    427,212.84x = 640,820.88 × 401,231.28
  4. Step 4: Simplify right side
    427,212.84x = 257,117,381,933.13
  5. Step 5: Solve for x
    x = 257,117,381,933.13/427,212.84
  6. Step 6: Final answer
    x = 601,848.44

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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.