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Finding the Fourth Proportional to 525,408.38, 787,618.82 and 397,128.50

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Solution

The fourth proportional to 525,408.38, 787,618.82 and 397,128.50 is: 595,319.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,408.38 : 787,618.82 = 397,128.50 : x
  2. Step 2: Convert to fraction form
    525,408.38/787,618.82 = 397,128.50/x
  3. Step 3: Cross multiply
    525,408.38x = 787,618.82 × 397,128.50
  4. Step 4: Simplify right side
    525,408.38x = 312,785,880,558.37
  5. Step 5: Solve for x
    x = 312,785,880,558.37/525,408.38
  6. Step 6: Final answer
    x = 595,319.55

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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.