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Finding the Fourth Proportional to 452,628.78, 678,046.48 and 310,123.86

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Solution

The fourth proportional to 452,628.78, 678,046.48 and 310,123.86 is: 464,571.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,628.78 : 678,046.48 = 310,123.86 : x
  2. Step 2: Convert to fraction form
    452,628.78/678,046.48 = 310,123.86/x
  3. Step 3: Cross multiply
    452,628.78x = 678,046.48 × 310,123.86
  4. Step 4: Simplify right side
    452,628.78x = 210,278,391,637.01
  5. Step 5: Solve for x
    x = 210,278,391,637.01/452,628.78
  6. Step 6: Final answer
    x = 464,571.41

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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.