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Finding the Fourth Proportional to 438,415.60, 656,311.20 and 412,463.20

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Solution

The fourth proportional to 438,415.60, 656,311.20 and 412,463.20 is: 617,460.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,415.60 : 656,311.20 = 412,463.20 : x
  2. Step 2: Convert to fraction form
    438,415.60/656,311.20 = 412,463.20/x
  3. Step 3: Cross multiply
    438,415.60x = 656,311.20 × 412,463.20
  4. Step 4: Simplify right side
    438,415.60x = 270,704,217,747.84
  5. Step 5: Solve for x
    x = 270,704,217,747.84/438,415.60
  6. Step 6: Final answer
    x = 617,460.28

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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.