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Finding the Fourth Proportional to 229,515.40, 316,724.89 and 127,538.22

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Solution

The fourth proportional to 229,515.40, 316,724.89 and 127,538.22 is: 175,999.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,515.40 : 316,724.89 = 127,538.22 : x
  2. Step 2: Convert to fraction form
    229,515.40/316,724.89 = 127,538.22/x
  3. Step 3: Cross multiply
    229,515.40x = 316,724.89 × 127,538.22
  4. Step 4: Simplify right side
    229,515.40x = 40,394,528,700.30
  5. Step 5: Solve for x
    x = 40,394,528,700.30/229,515.40
  6. Step 6: Final answer
    x = 175,999.21

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1.5x scale

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.