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Finding the Fourth Proportional to 224,642.58, 310,023.09 and 129,179.22

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Solution

The fourth proportional to 224,642.58, 310,023.09 and 129,179.22 is: 178,276.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,642.58 : 310,023.09 = 129,179.22 : x
  2. Step 2: Convert to fraction form
    224,642.58/310,023.09 = 129,179.22/x
  3. Step 3: Cross multiply
    224,642.58x = 310,023.09 × 129,179.22
  4. Step 4: Simplify right side
    224,642.58x = 40,048,540,948.19
  5. Step 5: Solve for x
    x = 40,048,540,948.19/224,642.58
  6. Step 6: Final answer
    x = 178,276.71

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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.