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Finding the Fourth Proportional to 523,774.44, 786,006.18 and 287,283

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Solution

The fourth proportional to 523,774.44, 786,006.18 and 287,283 is: 431,113.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,774.44 : 786,006.18 = 287,283 : x
  2. Step 2: Convert to fraction form
    523,774.44/786,006.18 = 287,283/x
  3. Step 3: Cross multiply
    523,774.44x = 786,006.18 × 287,283
  4. Step 4: Simplify right side
    523,774.44x = 225,806,213,408.94
  5. Step 5: Solve for x
    x = 225,806,213,408.94/523,774.44
  6. Step 6: Final answer
    x = 431,113.46

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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.