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Finding the Fourth Proportional to 340,083,584.40, 509,369,549.40 and 279,617,408.40

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Solution

The fourth proportional to 340,083,584.40, 509,369,549.40 and 279,617,408.40 is: 418,804,669.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,083,584.40 : 509,369,549.40 = 279,617,408.40 : x
  2. Step 2: Convert to fraction form
    340,083,584.40/509,369,549.40 = 279,617,408.40/x
  3. Step 3: Cross multiply
    340,083,584.40x = 509,369,549.40 × 279,617,408.40
  4. Step 4: Simplify right side
    340,083,584.40x = 142,428,593,321,103,760
  5. Step 5: Solve for x
    x = 142,428,593,321,103,760/340,083,584.40
  6. Step 6: Final answer
    x = 418,804,669.95

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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.