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Finding the Fourth Proportional to 382,612.65, 573,918.98 and 338,325.90

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Solution

The fourth proportional to 382,612.65, 573,918.98 and 338,325.90 is: 507,488.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,612.65 : 573,918.98 = 338,325.90 : x
  2. Step 2: Convert to fraction form
    382,612.65/573,918.98 = 338,325.90/x
  3. Step 3: Cross multiply
    382,612.65x = 573,918.98 × 338,325.90
  4. Step 4: Simplify right side
    382,612.65x = 194,171,653,743.95
  5. Step 5: Solve for x
    x = 194,171,653,743.95/382,612.65
  6. Step 6: Final answer
    x = 507,488.85

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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.