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Finding the Fourth Proportional to 428,768.60, 591,737.02 and 237,843.50

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Solution

The fourth proportional to 428,768.60, 591,737.02 and 237,843.50 is: 328,244.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,768.60 : 591,737.02 = 237,843.50 : x
  2. Step 2: Convert to fraction form
    428,768.60/591,737.02 = 237,843.50/x
  3. Step 3: Cross multiply
    428,768.60x = 591,737.02 × 237,843.50
  4. Step 4: Simplify right side
    428,768.60x = 140,740,803,916.37
  5. Step 5: Solve for x
    x = 140,740,803,916.37/428,768.60
  6. Step 6: Final answer
    x = 328,244.19

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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.