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Finding the Fourth Proportional to 315,412.70, 473,119.05 and 203,438.30

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Solution

The fourth proportional to 315,412.70, 473,119.05 and 203,438.30 is: 305,157.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,412.70 : 473,119.05 = 203,438.30 : x
  2. Step 2: Convert to fraction form
    315,412.70/473,119.05 = 203,438.30/x
  3. Step 3: Cross multiply
    315,412.70x = 473,119.05 × 203,438.30
  4. Step 4: Simplify right side
    315,412.70x = 96,250,535,229.62
  5. Step 5: Solve for x
    x = 96,250,535,229.62/315,412.70
  6. Step 6: Final answer
    x = 305,157.45

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1.5x scale

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.