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Finding the Fourth Proportional to 419,045.28, 627,834.48 and 285,492

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Solution

The fourth proportional to 419,045.28, 627,834.48 and 285,492 is: 427,738.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,045.28 : 627,834.48 = 285,492 : x
  2. Step 2: Convert to fraction form
    419,045.28/627,834.48 = 285,492/x
  3. Step 3: Cross multiply
    419,045.28x = 627,834.48 × 285,492
  4. Step 4: Simplify right side
    419,045.28x = 179,241,721,364.16
  5. Step 5: Solve for x
    x = 179,241,721,364.16/419,045.28
  6. Step 6: Final answer
    x = 427,738.31

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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.