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Finding the Fourth Proportional to 380,355.12, 570,539.16 and 143,809.20

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Solution

The fourth proportional to 380,355.12, 570,539.16 and 143,809.20 is: 215,716.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,355.12 : 570,539.16 = 143,809.20 : x
  2. Step 2: Convert to fraction form
    380,355.12/570,539.16 = 143,809.20/x
  3. Step 3: Cross multiply
    380,355.12x = 570,539.16 × 143,809.20
  4. Step 4: Simplify right side
    380,355.12x = 82,048,780,168.27
  5. Step 5: Solve for x
    x = 82,048,780,168.27/380,355.12
  6. Step 6: Final answer
    x = 215,716.25

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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.