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Finding the Fourth Proportional to 387,157.82, 534,184.32 and 225,920.84

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Solution

The fourth proportional to 387,157.82, 534,184.32 and 225,920.84 is: 311,716.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,157.82 : 534,184.32 = 225,920.84 : x
  2. Step 2: Convert to fraction form
    387,157.82/534,184.32 = 225,920.84/x
  3. Step 3: Cross multiply
    387,157.82x = 534,184.32 × 225,920.84
  4. Step 4: Simplify right side
    387,157.82x = 120,683,370,289.23
  5. Step 5: Solve for x
    x = 120,683,370,289.23/387,157.82
  6. Step 6: Final answer
    x = 311,716.22

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1.5x scale

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.