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Finding the Fourth Proportional to 315,025.40, 472,538.10 and 165,207.80

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Solution

The fourth proportional to 315,025.40, 472,538.10 and 165,207.80 is: 247,811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,025.40 : 472,538.10 = 165,207.80 : x
  2. Step 2: Convert to fraction form
    315,025.40/472,538.10 = 165,207.80/x
  3. Step 3: Cross multiply
    315,025.40x = 472,538.10 × 165,207.80
  4. Step 4: Simplify right side
    315,025.40x = 78,066,979,917.18
  5. Step 5: Solve for x
    x = 78,066,979,917.18/315,025.40
  6. Step 6: Final answer
    x = 247,811.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.