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Finding the Fourth Proportional to 273,125.88, 409,392.72 and 139,823.28

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Solution

The fourth proportional to 273,125.88, 409,392.72 and 139,823.28 is: 209,583.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,125.88 : 409,392.72 = 139,823.28 : x
  2. Step 2: Convert to fraction form
    273,125.88/409,392.72 = 139,823.28/x
  3. Step 3: Cross multiply
    273,125.88x = 409,392.72 × 139,823.28
  4. Step 4: Simplify right side
    273,125.88x = 57,242,632,918.52
  5. Step 5: Solve for x
    x = 57,242,632,918.52/273,125.88
  6. Step 6: Final answer
    x = 209,583.34

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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.