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Finding the Fourth Proportional to 426,033.84, 638,393.84 and 209,644.16

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Solution

The fourth proportional to 426,033.84, 638,393.84 and 209,644.16 is: 314,142.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,033.84 : 638,393.84 = 209,644.16 : x
  2. Step 2: Convert to fraction form
    426,033.84/638,393.84 = 209,644.16/x
  3. Step 3: Cross multiply
    426,033.84x = 638,393.84 × 209,644.16
  4. Step 4: Simplify right side
    426,033.84x = 133,835,540,335.97
  5. Step 5: Solve for x
    x = 133,835,540,335.97/426,033.84
  6. Step 6: Final answer
    x = 314,142.98

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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.