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Finding the Fourth Proportional to 617,930.70, 926,896.05 and 428,973.90

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Solution

The fourth proportional to 617,930.70, 926,896.05 and 428,973.90 is: 643,460.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,930.70 : 926,896.05 = 428,973.90 : x
  2. Step 2: Convert to fraction form
    617,930.70/926,896.05 = 428,973.90/x
  3. Step 3: Cross multiply
    617,930.70x = 926,896.05 × 428,973.90
  4. Step 4: Simplify right side
    617,930.70x = 397,614,213,463.10
  5. Step 5: Solve for x
    x = 397,614,213,463.10/617,930.70
  6. Step 6: Final answer
    x = 643,460.85

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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.