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Finding the Fourth Proportional to 382,563.30, 528,038.73 and 269,436.90

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Solution

The fourth proportional to 382,563.30, 528,038.73 and 269,436.90 is: 371,894.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,563.30 : 528,038.73 = 269,436.90 : x
  2. Step 2: Convert to fraction form
    382,563.30/528,038.73 = 269,436.90/x
  3. Step 3: Cross multiply
    382,563.30x = 528,038.73 × 269,436.90
  4. Step 4: Simplify right side
    382,563.30x = 142,273,118,491.14
  5. Step 5: Solve for x
    x = 142,273,118,491.14/382,563.30
  6. Step 6: Final answer
    x = 371,894.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.