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Finding the Fourth Proportional to 229,319.13, 316,449.81 and 127,351.07

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Solution

The fourth proportional to 229,319.13, 316,449.81 and 127,351.07 is: 175,738.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,319.13 : 316,449.81 = 127,351.07 : x
  2. Step 2: Convert to fraction form
    229,319.13/316,449.81 = 127,351.07/x
  3. Step 3: Cross multiply
    229,319.13x = 316,449.81 × 127,351.07
  4. Step 4: Simplify right side
    229,319.13x = 40,300,220,322.55
  5. Step 5: Solve for x
    x = 40,300,220,322.55/229,319.13
  6. Step 6: Final answer
    x = 175,738.59

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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.