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Finding the Fourth Proportional to 426,029.84, 638,387.84 and 209,640.16

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Solution

The fourth proportional to 426,029.84, 638,387.84 and 209,640.16 is: 314,136.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,029.84 : 638,387.84 = 209,640.16 : x
  2. Step 2: Convert to fraction form
    426,029.84/638,387.84 = 209,640.16/x
  3. Step 3: Cross multiply
    426,029.84x = 638,387.84 × 209,640.16
  4. Step 4: Simplify right side
    426,029.84x = 133,831,728,919.65
  5. Step 5: Solve for x
    x = 133,831,728,919.65/426,029.84
  6. Step 6: Final answer
    x = 314,136.98

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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.