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Finding the Fourth Proportional to 227,978.88, 314,616 and 127,376.64

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Solution

The fourth proportional to 227,978.88, 314,616 and 127,376.64 is: 175,782.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,978.88 : 314,616 = 127,376.64 : x
  2. Step 2: Convert to fraction form
    227,978.88/314,616 = 127,376.64/x
  3. Step 3: Cross multiply
    227,978.88x = 314,616 × 127,376.64
  4. Step 4: Simplify right side
    227,978.88x = 40,074,728,970.24
  5. Step 5: Solve for x
    x = 40,074,728,970.24/227,978.88
  6. Step 6: Final answer
    x = 175,782.64

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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.