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Finding the Fourth Proportional to 565,840.04, 782,915.44 and 493,394

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Solution

The fourth proportional to 565,840.04, 782,915.44 and 493,394 is: 682,676.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,840.04 : 782,915.44 = 493,394 : x
  2. Step 2: Convert to fraction form
    565,840.04/782,915.44 = 493,394/x
  3. Step 3: Cross multiply
    565,840.04x = 782,915.44 × 493,394
  4. Step 4: Simplify right side
    565,840.04x = 386,285,780,603.36
  5. Step 5: Solve for x
    x = 386,285,780,603.36/565,840.04
  6. Step 6: Final answer
    x = 682,676.65

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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.