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Finding the Fourth Proportional to 380,259.75, 570,950.34 and 212,108.61

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Solution

The fourth proportional to 380,259.75, 570,950.34 and 212,108.61 is: 318,475.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,259.75 : 570,950.34 = 212,108.61 : x
  2. Step 2: Convert to fraction form
    380,259.75/570,950.34 = 212,108.61/x
  3. Step 3: Cross multiply
    380,259.75x = 570,950.34 × 212,108.61
  4. Step 4: Simplify right side
    380,259.75x = 121,103,482,996.43
  5. Step 5: Solve for x
    x = 121,103,482,996.43/380,259.75
  6. Step 6: Final answer
    x = 318,475.68

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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.