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Finding the Fourth Proportional to 472,664.70, 708,997.05 and 140,240.70

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Solution

The fourth proportional to 472,664.70, 708,997.05 and 140,240.70 is: 210,361.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,664.70 : 708,997.05 = 140,240.70 : x
  2. Step 2: Convert to fraction form
    472,664.70/708,997.05 = 140,240.70/x
  3. Step 3: Cross multiply
    472,664.70x = 708,997.05 × 140,240.70
  4. Step 4: Simplify right side
    472,664.70x = 99,430,242,589.94
  5. Step 5: Solve for x
    x = 99,430,242,589.94/472,664.70
  6. Step 6: Final answer
    x = 210,361.05

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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.