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Finding the Fourth Proportional to 224,749.86, 310,164.24 and 129,256.64

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Solution

The fourth proportional to 224,749.86, 310,164.24 and 129,256.64 is: 178,379.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,749.86 : 310,164.24 = 129,256.64 : x
  2. Step 2: Convert to fraction form
    224,749.86/310,164.24 = 129,256.64/x
  3. Step 3: Cross multiply
    224,749.86x = 310,164.24 × 129,256.64
  4. Step 4: Simplify right side
    224,749.86x = 40,090,785,959.73
  5. Step 5: Solve for x
    x = 40,090,785,959.73/224,749.86
  6. Step 6: Final answer
    x = 178,379.58

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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.