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Finding the Fourth Proportional to 547,728.48, 755,448.84 and 471,374.64

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Solution

The fourth proportional to 547,728.48, 755,448.84 and 471,374.64 is: 650,138.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,728.48 : 755,448.84 = 471,374.64 : x
  2. Step 2: Convert to fraction form
    547,728.48/755,448.84 = 471,374.64/x
  3. Step 3: Cross multiply
    547,728.48x = 755,448.84 × 471,374.64
  4. Step 4: Simplify right side
    547,728.48x = 356,099,424,993.42
  5. Step 5: Solve for x
    x = 356,099,424,993.42/547,728.48
  6. Step 6: Final answer
    x = 650,138.60

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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.