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Finding the Fourth Proportional to 315,709.08, 435,671.40 and 172,469.76

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Solution

The fourth proportional to 315,709.08, 435,671.40 and 172,469.76 is: 238,004.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,709.08 : 435,671.40 = 172,469.76 : x
  2. Step 2: Convert to fraction form
    315,709.08/435,671.40 = 172,469.76/x
  3. Step 3: Cross multiply
    315,709.08x = 435,671.40 × 172,469.76
  4. Step 4: Simplify right side
    315,709.08x = 75,140,141,796.86
  5. Step 5: Solve for x
    x = 75,140,141,796.86/315,709.08
  6. Step 6: Final answer
    x = 238,004.37

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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.