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Finding the Fourth Proportional to 403,730.70, 605,596.05 and 381,957.90

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Solution

The fourth proportional to 403,730.70, 605,596.05 and 381,957.90 is: 572,936.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,730.70 : 605,596.05 = 381,957.90 : x
  2. Step 2: Convert to fraction form
    403,730.70/605,596.05 = 381,957.90/x
  3. Step 3: Cross multiply
    403,730.70x = 605,596.05 × 381,957.90
  4. Step 4: Simplify right side
    403,730.70x = 231,312,195,506.30
  5. Step 5: Solve for x
    x = 231,312,195,506.30/403,730.70
  6. Step 6: Final answer
    x = 572,936.85

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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.