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Finding the Fourth Proportional to 398,429.80, 597,644.70 and 145,709.80

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Solution

The fourth proportional to 398,429.80, 597,644.70 and 145,709.80 is: 218,564.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,429.80 : 597,644.70 = 145,709.80 : x
  2. Step 2: Convert to fraction form
    398,429.80/597,644.70 = 145,709.80/x
  3. Step 3: Cross multiply
    398,429.80x = 597,644.70 × 145,709.80
  4. Step 4: Simplify right side
    398,429.80x = 87,082,689,708.06
  5. Step 5: Solve for x
    x = 87,082,689,708.06/398,429.80
  6. Step 6: Final answer
    x = 218,564.70

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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.