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Finding the Fourth Proportional to 419,546.90, 578,989.60 and 238,253.78

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Solution

The fourth proportional to 419,546.90, 578,989.60 and 238,253.78 is: 328,798.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,546.90 : 578,989.60 = 238,253.78 : x
  2. Step 2: Convert to fraction form
    419,546.90/578,989.60 = 238,253.78/x
  3. Step 3: Cross multiply
    419,546.90x = 578,989.60 × 238,253.78
  4. Step 4: Simplify right side
    419,546.90x = 137,946,457,290.11
  5. Step 5: Solve for x
    x = 137,946,457,290.11/419,546.90
  6. Step 6: Final answer
    x = 328,798.66

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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.