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Finding the Fourth Proportional to 380,967.59, 570,949.97 and 212,567.19

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Solution

The fourth proportional to 380,967.59, 570,949.97 and 212,567.19 is: 318,571.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,967.59 : 570,949.97 = 212,567.19 : x
  2. Step 2: Convert to fraction form
    380,967.59/570,949.97 = 212,567.19/x
  3. Step 3: Cross multiply
    380,967.59x = 570,949.97 × 212,567.19
  4. Step 4: Simplify right side
    380,967.59x = 121,365,229,690.65
  5. Step 5: Solve for x
    x = 121,365,229,690.65/380,967.59
  6. Step 6: Final answer
    x = 318,571.01

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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.