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Finding the Fourth Proportional to 315,458.20, 472,409.70 and 209,704.60

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Solution

The fourth proportional to 315,458.20, 472,409.70 and 209,704.60 is: 314,039.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,458.20 : 472,409.70 = 209,704.60 : x
  2. Step 2: Convert to fraction form
    315,458.20/472,409.70 = 209,704.60/x
  3. Step 3: Cross multiply
    315,458.20x = 472,409.70 × 209,704.60
  4. Step 4: Simplify right side
    315,458.20x = 99,066,487,174.62
  5. Step 5: Solve for x
    x = 99,066,487,174.62/315,458.20
  6. Step 6: Final answer
    x = 314,039.98

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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.