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Finding the Fourth Proportional to 315,438.20, 473,157.30 and 203,463.80

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Solution

The fourth proportional to 315,438.20, 473,157.30 and 203,463.80 is: 305,195.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,438.20 : 473,157.30 = 203,463.80 : x
  2. Step 2: Convert to fraction form
    315,438.20/473,157.30 = 203,463.80/x
  3. Step 3: Cross multiply
    315,438.20x = 473,157.30 × 203,463.80
  4. Step 4: Simplify right side
    315,438.20x = 96,270,382,255.74
  5. Step 5: Solve for x
    x = 96,270,382,255.74/315,438.20
  6. Step 6: Final answer
    x = 305,195.70

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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.